Find the equation of the parabola with focus $\ (6,0) $ and directrix $\ x=0 $
What I have done so far:
$ (x-h)^2 = 4p(y-k) $
$ (h,k) = (3,0) $
$ (x-3)^2 = 12y $ as p = 3
However, the answer shows that it's $ y^2=12x-36 $
Find the equation of the parabola with focus $\ (6,0) $ and directrix $\ x=0 $
What I have done so far:
$ (x-h)^2 = 4p(y-k) $
$ (h,k) = (3,0) $
$ (x-3)^2 = 12y $ as p = 3
However, the answer shows that it's $ y^2=12x-36 $
When you start with $(x-h)^2 = 4p(y-k)$, you presuppose that the parabola is vertical. But here, the directrix is vertical, and so the parabola is horizontal.
Does this give you the next step?