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1 vote
What is the equation of a parabola with vertex (0, 0) and directrix x = -3.

User Afrosteve
by
6.8k points

1 Answer

7 votes

Answer:


{y}^(2)= 12x

Explanation:

The standard equation of a parabola with vertex at the origin and and directix x=-p is of the form


{y}^(2) = 4{p}x

Where p is simplify the distance from the origin to the directrix.

That is


p = 3


{y}^(2) = 4 * 3x

This simplifies to


{y}^(2)= 12x

User Aleksander Gralak
by
7.5k points
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