Math II · G-GPE.2

Derive the equation of a parabola from a focus and directrix.

Derive the equation of a parabola from a focus and directrix.

Concept Geometry

Domain Expressing Geometric Properties with Equations

Problem Types

Problem Templates In This Objective

10 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Derive separate parabola features from focus and directrix

4 variants

Template 2

Derive a vertical parabola equation from focus and directrix

4 variants

Template 3

Derive a horizontal parabola equation from focus and directrix

4 variants

Template 4

Write the standard form of a parabola from its vertex, orientation, and p-value

4 variants

Template 5

Read separate focus and directrix fields from a parabola equation

4 variants

Template 6

Convert a parabola equation to standard focus-directrix form

4 variants

Template 7

Verify whether a point lies on a parabola using focus and directrix

4 variants

Template 8

Build an exact parabola graph specification from focus and directrix

4 variants

Template 9

Find the vertex of a parabola from focus and directrix

4 variants

Template 10

Determine the opening direction of a parabola from its focus and directrix

4 variants