Back to Derive parabola equation — Problem 5 · Task Set 31

Exercises: Derive the Equation of a Parabola Given Focus and Directrix

Show your work for each problem. Unless a problem says otherwise, assume the axis of symmetry is horizontal or vertical, and give equations in standard form.

Grade 10·23 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-gpe-a-2
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Fluency Practice

1

A parabola has focus (2,0)(2, 0) and directrix x=−2x = -2. Write its equation in the form y2=4pxy^2 = 4px.