Answer:
F(x) = (x - 6)(x - 10) = x² - 16x + 60
= (x² - 16x + 64) - 4
= (x - 8)² - 4
Vertex of F(x): (8, -4)
G(x) = a(x - 4)² -8
G(6) = a(2²) - 8 = -6
4a - 8 = -6
4a = 2
a = 1/2
G(x) = (1/2)(x - 4)² - 8
Vertex of G(x): (4, -8)
The y-coordinate of F(x) is greater than the y-coordinate of G(x).