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

Question

asked Apr 27, 2020 37.1k views

1 Answer

Aleksander Gralak · Answer 1 · 2020-05-03T16:53:48+0000

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

${y}^(2)= 12x$