Question

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

Answer 1

Are you familiar with the standard equation for a parabola? If you know it, then simply substituting the given values will get you the answer.

Answer 2

directrix is vertical so this will open to the right
vertex is \((0,0)\) so it will be \[4px=y^2\]

Answer 3

\(p\) is the distance between the directrix and the vertex, which in this case is 3

Answer 4

So then we would re-write the equation as y^2=12x?

Answer 5

yes

Answer 6

http://www.wolframalpha.com/input/?i=parabola+12x%3Dy^2