Question

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

Answer 1

Answer:

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

Step-by-step 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

$p = 3$

${y}^{2} = 4 \times 3x$

This simplifies to

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