Answer:
the three boxes should be filled with
2 8 -12
respectively
Step-by-step explanation:
The general equation of the parabola in this problem is
y = a(x-h)^2 + k
vertex is at (-2, -20), => k=-20, h = 2
so the equation is
y = a(x+2)^2 - 20
To have y-intercept = -12, we set x = 0
-12 = a(0+2)^2 - 20
a(2^2) = 8
a = 2
therefore the equation of the parabola is
y = 2 (x+2)^2 -20 = 2x^2 + 8x - 12
the three boxes should be filled with
2 8 -12
respectively
