Question

Write an equation of the parabola in vertex form that passes through (0, −24) and has vertex (−6, −12)

Answer 1

The general equation is y-k=a(x-h)² where (h,k) is the vertex.

So in this case we have y+12=a(x+6)².

Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².