Math Example--Quadratics--Equations of Parabolas--Example 1
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Algebra >> Quadratic Functions and Equations >> Graphs of Quadratic Functions

Math Example--Quadratics--Equations of Parabolas--Example 1

Equations of Parabolas--Example 1

Equations of Parabolas Example 1

Topic

Quadratics

Description

In this example, we're given a parabola with its focus at (0, 0) and directrix y = 5. Using the locus definition, we can determine that the vertex is at (0, 2.5), halfway between the focus and directrix. The distance p from the vertex to the focus is 2.5. This example demonstrates how the focus and directrix directly determine the equation of the parabola.

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, CCSS.MATH.CONTENT.HSG.GPE.A.2
Grade Range 8 - 10
Curriculum Nodes Algebra
    • Quadratic Functions and Equations
        • Graphs of Quadratic Functions
Copyright Year 2021
Keywords quadratic functions, focus, directrix