Problem preview
G-GPE.2 Warmup M2-042-A09-V04

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

Find the vertex of a parabola from focus and directrix

Problem

Find the vertex of the parabola with focus \((2,-4)\) and directrix \(x=8\).

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-GPE.2
Category
Geometry
Domain
Expressing Geometric Properties with Equations
Objective
Derive the equation of a parabola from a focus and directrix.
Problem type
Find the vertex of a parabola from focus and directrix