Respuesta :
Answer:
a = 3
Step-by-step explanation:
The vertex form of a quadratic is
y = a(x-h) ^2 +k where ( h,k) is the vertex
the vertex is (-2,2)
y = a(x- -2) ^2 +2
y = a(x+2) ^2 +2
Pick another point on the graph to determine a
(-1,5) and substitute into the equation
5 = a( -1+2) ^2 +2
5 = a(1)^2 +2
5 = a(1) +2
Subtract 2 from each side
5-2 = a+2-2
3 = a