Answer:
4/81 = a
Step-by-step explanation:
The vertex form of a parabola is
y = a (x-h)^2 +k where (h,k) is the is the vertex
y = a (x- -5)^2 -2
y = a (x+5)^2 -2
Substituting the point into the equation
2 = a( 4+5)^2 -2
2 = a( 9)^2 -2
2 = a (81) -2
Add 2 to each side
4 = 81 a
Divide each side by 81
4/81 = a
