+196 Identify the equation of the parabola with its focus at (-4,9) and the directrix y=-3.
A) 24(y-7)=(x+4)^2
B) -12(y+4)=(x+4)^2
C) 24(y-3)=(x+4)^2
D) 12(y-4)=(x+4)^2
+129843 In the form (x - h)2 = 4p (y - k)
The vertex, (h,k) will be (-4, 3) and p can be found by subtracting the y coordinate of the vertex from the y coordinate of the focus = [9 - 3] = 6
So we have
(x + 4)2 = 4 (6)(y - 3)
(x + 4)2 = 24(y - 3) which is the same as
24(y - 3) = (x + 4)2
