Problem preview
G-GPE.2 Warmup M2-042-A06-V02

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

Convert a parabola equation to standard focus-directrix form

Problem

Convert \(y~=~-(1/16)(x~-~1)^{2}~-~3\) to standard focus-directrix form. Isolate the translated \(y\)-expression, then isolate the squared \(x\)-expression without losing the negative coefficient.

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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
Convert a parabola equation to standard focus-directrix form