Answer:
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 = [tex]a (x - -1)^{2}[/tex] + (-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
