Find the standard form of the equation of the parabola with

Find the standard form of the equation of the parabola with the given characteristics. Vertex: (-4, 7); focus: (-4, 0)

vertex = (-4 , 7) ; focus ( -4 , 0)

general equation of parabola: y = a(x -h)^2 +k

(h , k) = (-4 , 7)

focus =( h, k+1/4a)

So, y = a(x+4)^2 +7

k +1/4a = 0

7 +1/4a =0

1/4a = -7 ----> a = -1/28

So, y = (-1/28)(x +4)^2 +7