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Math Example--Quadratics--Equations of Parabolas--Example 10
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Algebra >> Quadratic Functions and Equations >> Graphs of Quadratic Functions

Math Example--Quadratics--Equations of Parabolas--Example 10

Equations of Parabolas--Example 10

Equations of Parabolas Example 10

Topic

Quadratics

Description

In this example, the focus is at (-2, 3) and the directrix is y = -4. The parabola opens upward with its vertex at (-2, -0.5). The distance p from the vertex to the focus is 3.5. The directrix is a line perpendicular to the axis of symmetry and is located at a distance |p| from the vertex on the opposite side of the focus. The axis of symmetry is a line that passes through the vertex and the focus, dividing the parabola into two symmetric halves.A parabola can also 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).

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