In which form is the following function written?

y+20=8 (x+7) ^2

(a variation of) vertex form

Step-by-step explanation:

For vertical scale factor "a" and vertex (h, k), the vertex form of the equation for a parabola can be written as ...

y = a (x - h) ^2 + k

If k is subtracted from this equation, an alternate form is ...

y - k = a (x - h) ^2

This latter version of vertex form is the form your equation has, where ...

a = 8 (h, k) = (-7, - 20)