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Math Example--Quadratics--Equations of Parabolas--Example 6
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Algebra >> Quadratic Functions and Equations >> Graphs of Quadratic Functions

Math Example--Quadratics--Equations of Parabolas--Example 6

Equations of Parabolas--Example 6

Equations of Parabolas Example 6

Topic

Quadratics

Description

This example presents a parabola with its focus at (2, 3) and directrix y = -3. The parabola opens upward with its vertex at (0, 2). The distance p from the vertex to the focus is 3. A parabola can be defined as the locus of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix). This definition is key to understanding how the equation of a parabola is derived from its focus and directrix.

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