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G-GPE.2 Warmup M2-042-A04-V03

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

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

Problem

Write the standard focus-directrix form of a parabola with vertex \((2,~5)\), signed focal parameter \(p~=~3\), and rightward opening. Identify the horizontal template and substitute the vertex shifts and \(4p\).

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