Step-by-step explanation:
For a parabola y = ax² + bx + c, the vertex occurs at x = -b / (2a).
For f(x), a = -2, b = 0, and c = 9. So the vertex is at:
x = -0 / (2×-2)
x = 0
At x=0:
f(0) = -2(0)² + 9
f(0) = 9
The maximum of g(x) is at 11.
So g(x) has a greater maximum value than f(x).
