Back to Derive parabola equation — Problem 3 · 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 (0,−5)(0, -5) and directrix y=5y = 5. Write its equation in the form x2=4pyx^2 = 4py.