Does anyone know the correct answer for this!?!!

2

Step-by-step explanation:

Use the vertex form equation first since you are given the vertex (-1,-2) where you have (h,k) so h = -1 and k = -2

y =   + (-2) so if you simplify we get y =  a(x+1)^2 -2

Since we are also given a point we can solve for a so x = 2 and y = 16

16 = a(2+1)^2 - 2

16 = a(3)^2 - 2

18 = 9a

a = 2