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Math Example--Quadratics--Graphs of Quadratic Functions in Factored Form--Example 1
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Algebra >> Quadratic Functions and Equations >> Graphs of Quadratic Functions

Math Example--Quadratics--Graphs of Quadratic Functions in Factored Form--Example 1

Graphs of Quadratic Functions in Factored Form--Example 1

Graphs of Quadratic Functions in Factored Form Example 1

Topic

Quadratics

Description

The factored form of a quadratic function, expressed as y = a(x − r1)(x − r2), directly reveals the roots r1 and r2  of the function. This form is different from the standard form y = ax2 + bx + c, which requires additional steps to find the roots. Factored form simplifies graphing by providing the x-intercepts directly, making it easier to sketch the parabola. This example illustrates how the graph intersects the x-axis at the points corresponding to the roots, providing a straightforward visual representation of the quadratic function.

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

Common Core Standards CCSS.MATH.CONTENT.HSF.IF.C.7, CCSS.MATH.CONTENT.HSF.IF.C.7.A
Grade Range 8 - 10
Curriculum Nodes Algebra
    • Quadratic Functions and Equations
        • Graphs of Quadratic Functions
Copyright Year 2020
Keywords quadratic functions