Math Clip Art--Function Concepts--Graphs of Functions and Relations--Horizontal Parabola 2

Topic

Functions

Description

This clip art showcases another representation of a horizontal parabola, which is a quadratic relation. Like the previous horizontal parabola, this curve fails the vertical line test and thus is not a function. It represents an equation in the form x = ay² + by + c, but with different parameters.

Studying various representations of horizontal parabolas helps students understand how changing coefficients in the equation affects the shape, orientation, and position of the graph. This is crucial for developing a deeper understanding of quadratic relations and their applications in fields like physics and engineering.

Visual aids like this are invaluable in mathematics education. They help students grasp abstract concepts by providing a concrete, visual representation. This horizontal parabola can be used to discuss topics such as axis of symmetry, vertex, and the relationship between algebraic equations and geometric shapes.

Teacher's Script: "Compare this horizontal parabola to the previous one. What differences do you notice? Can you predict how changing the values in the equation might affect its appearance? Let's explore how we might transform this parabola."

For a complete collection of math clip art related to Functions and Relations click on this link: Graphs of Functions and Relations Collection.