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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 1: Inputs and Outputs

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = 2x + 4. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 4), (1, 6), (2, 8), (3, 10), and (4, 12), illustrating how the y-value increases by 2 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -x + 6. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 6), (1, 5), (2, 4), (3, 3), and (4, 2), illustrating how the y-value decreases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = -x - 8. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -8), (1, -9), (2, -10), (3, -11), and (4, -12), showing how the y-value decreases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 12 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 12 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 12

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = -x. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, -1), (2, -2), (3, -3), and (4, -4), illustrating how the y-value decreases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 13 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 13 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 13

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0.5x + 4. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 4), (1, 4.5), (2, 5), (3, 5.5), and (4, 6), showing how the y-value increases by 0.5 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 14 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 14 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 14

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = 0.1x - 5. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, -5), (1, -4.9), (2, -4.8), (3, -4.7), and (4, -4.6), illustrating how the y-value increases by 0.1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 15 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 15 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 15

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0.2x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 0.2), (2, 0.4), (3, 0.6), and (4, 0.8), showing how the y-value increases by 0.2 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 16 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 16 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 16

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -0.5x + 7. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 7), (1, 6.5), (2, 6), (3, 5.5), and (4, 5), illustrating how the y-value decreases by 0.5 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 17 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 17 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 17

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = -0.1x - 4. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -4), (1, -4.1), (2, -4.2), (3, -4.3), and (4, -4.4), showing how the y-value decreases by 0.1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 18 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 18 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 18

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -0.6x. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, -0.6), (2, -1.2), (3, -1.8), and (4, -2.4), illustrating how the y-value decreases by 0.6 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 19 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 19 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 19

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 0), (2, 0), (3, 0), and (4, 0), showing how the y-value remains constant at 0 for all values of x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 2 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 2 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 2

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 3x - 2. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -2), (1, 1), (2, 4), (3, 7), and (4, 10), showing how the y-value increases by 3 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 20 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 20 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 20

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = 0x - 6. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, -6), (1, -6), (2, -6), (3, -6), and (4, -6), illustrating how the y-value remains constant at -6 for all values of x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 21 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 21 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 21

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0 * x + 4. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 4), (1, 4), (2, 4), (3, 4), and (4, 4), showing how the y-value remains constant at 4 for all values of x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = 5x. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, 5), (2, 10), (3, 15), and (4, 20), illustrating how the y-value increases by 5 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4

Topic

Linear Functions

Description

This example showcases the process of creating a table of x-y coordinates and graphing the linear function y = -2x + 5. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 5), (1, 3), (2, 1), (3, -1), and (4, -3), demonstrating how the y-value decreases by 2 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5

Topic

Linear Functions

Description

This example illustrates the creation of a table of x-y coordinates and the graphing of the linear function y = -3x - 4. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, -4), (1, -7), (2, -10), (3, -13), and (4, -16), showing how the y-value decreases by 3 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -6x. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, -6), (2, -12), (3, -18), and (4, -24), illustrating how the y-value decreases by 6 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = x + 7. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 7), (1, 8), (2, 9), (3, 10), and (4, 11), showing how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = x - 8. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, -8), (1, -7), (2, -6), (3, -5), and (4, -4), illustrating how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 1), (2, 2), (3, 3), and (4, 4), showing how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 1 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 1 Quadratic Functions in Tabular and Graph Form: Example 2

Topic

Quadratics

Description

This example illustrates the relationship between quadratic functions and their graphical representations. The image shows a table of values and the corresponding graph of a quadratic function, highlighting how changes in the equation affect the graph's shape and position. Understanding this relationship is crucial for interpreting and predicting the behavior of quadratic functions. Skills involved include plotting points, recognizing parabolic shapes, and analyzing vertex and axis of symmetry.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 10 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 10 Quadratic Functions in Tabular and Graph Form: Example 10

Topic

Quadratics

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 11 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 11 Quadratic Functions in Tabular and Graph Form: Example 11

Topic

Quadratics

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 12 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 12 Quadratic Functions in Tabular and Graph Form: Example 12

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. This example highlights the relationship between the equation and its graph, showing the parabolic curve and how it opens downward. Key features such as the vertex and intercepts are easily identifiable, which are crucial for understanding the function's behavior.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 13 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 13 Quadratic Functions in Tabular and Graph Form: Example 13

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The example illustrates how the coefficients in the quadratic equation affect the graph's shape and direction, allowing for a deeper understanding of the function's properties.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 14 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 14 Quadratic Functions in Tabular and Graph Form: Example 14

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. This example shows the symmetry of the parabola and how the vertex acts as a turning point, which is critical for graph analysis and interpretation.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 15 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 15 Quadratic Functions in Tabular and Graph Form: Example 15

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The graph clearly shows the parabola's opening direction and the impact of the quadratic term, aiding in the comprehension of graph transformations.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 16 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 16 Quadratic Functions in Tabular and Graph Form: Example 16

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The example demonstrates how the vertex form of the equation can be used to predict the graph's position and shape, enhancing understanding of vertex transformations.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 17 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 17 Quadratic Functions in Tabular and Graph Form: Example 17

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The graphic representation is useful for identifying roots and how they correspond to the x-intercepts of the graph, which is fundamental for solving quadratic equations graphically.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 18 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 18 Quadratic Functions in Tabular and Graph Form: Example 18

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The graphical representation is useful for determining the kind of discriminant and the number of roots, which is visually represented by the points where the graph intersects the x-axis.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 19 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 19 Quadratic Functions in Tabular and Graph Form: Example 19

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. These representations are useful to show the axis of symmetry can be used to find the vertex and how this symmetry is reflected in the graph.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 2 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 2 Quadratic Functions in Tabular and Graph Form: Example 3

Topic

Quadratics

Description

This example demonstrates the concept of quadratic functions through a table of values and its graph. It emphasizes how the quadratic function translates into a parabolic graph, showcasing the vertex and symmetry. This visual representation aids in comprehending the impact of coefficients on the graph's curvature and direction. Mastery of this concept involves skills in graphing, interpreting quadratic equations, and identifying key features such as intercepts and vertex.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 20 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 20 Quadratic Functions in Tabular and Graph Form: Example 20

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. This example shows a downwardly opening parabola and you can see the relationship between the parameters of the function and how they are displayed graphically.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 21 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 21 Quadratic Functions in Tabular and Graph Form: Example 21

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The example shows an upwardly opening parabola. Make a note of the parameters of the function and how they are reflected in the table and graph.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 22 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 22 Quadratic Functions in Tabular and Graph Form: Example 22

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The focus is on understanding how the graph's vertex and axis of symmetry relate to the equation, enhancing skills in graph interpretation.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 23 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 23 Quadratic Functions in Tabular and Graph Form: Example 23

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. It demonstrates the role of the quadratic terms in determining the graph's curvature and the significance of intercepts in solving quadratic equations.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 24 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 24 Quadratic Functions in Tabular and Graph Form: Example 24

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The example shows an upwardly opening parabola and you can see the graph's symmetry and how it can be used to predict the function's behavior and solve equations graphically.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 25 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 25 Quadratic Functions in Tabular and Graph Form: Example 25

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. It highlights the alternative to the quadratic formula in finding roots and how these roots are represented graphically as x-intercepts.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 26 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 26 Quadratic Functions in Tabular and Graph Form: Example 26

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The example shows a function with no roots, since the graph does not intersect the x-axis.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 27 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 27 Quadratic Functions in Tabular and Graph Form: Example 27

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The focus is on understanding how the graph's vertex and axis of symmetry relate to the equation, enhancing skills in graph interpretation.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 28 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 28 Quadratic Functions in Tabular and Graph Form: Example 28

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. It demonstrates the role of the quadratic terms in determining the graph's curvature and the significance of intercepts in solving quadratic equations.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 29 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 29 Quadratic Functions in Tabular and Graph Form: Example 29

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. This example demonstrates the relationship between the quadratic equation and its graph, highlighting the vertex and axis of symmetry, which are key to understanding the function's behavior.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 3 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 3 Quadratic Functions in Tabular and Graph Form: Example 3

Topic

Quadratics

Description

This example illustrates a quadratic function through both a tabular data set and its corresponding graph. The table presents specific input-output pairs that, when plotted, form a parabolic curve on the graph. This visual representation highlights the quadratic function's key features, such as the vertex, axis of symmetry, and intercepts. The table allows for a clear understanding of how each value corresponds to a point on the graph, demonstrating the function's behavior over a range of inputs.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 30 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 30 Quadratic Functions in Tabular and Graph Form: Example 30

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The example illustrates how changes in coefficients affect the parabola's direction and width, providing insight into graph transformations.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 31 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 31 Quadratic Functions in Tabular and Graph Form: Example 31

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. This example shows a downwardly opening parabola.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 32 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 32 Quadratic Functions in Tabular and Graph Form: Example 32

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The graph and table illustrate the importance of intercepts and how they relate to the roots of the quadratic equation.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 33 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 33 Quadratic Functions in Tabular and Graph Form: Example 33

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. This example shows an upwardly opening parabola that doesn't intersect the x-axis.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 34 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 34 Quadratic Functions in Tabular and Graph Form: Example 34

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. This example shows a downwardly opening parabola that intersects the x-axis at two points.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 35 Math Example--Quadratics--Quadratic Functions in Tabular and Graph Form: Example 35 Quadratic Functions in Tabular and Graph Form: Example 35

Topic

Quadratics

Description

In this example, a quadratic function is shown in tabular and graphic format. Analyzing these different representations of a function is important and provides relevant information about the quadratic function. The example shows an upwardly opening parabola that intersects the x-axis at two points.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Graphs of Quadratic Functions and Quadratic Equations and Functions