A rocket is launched from the top of a platform 50 feet above the ground. The rocket will fall after exploding at its maximum height. The rocket's height above the ground is given by the function h(r) = −16r2 + 64r + 50.

The function g(r) is shown in the graph.

graph with r on the x axis and g of r on the y axis that is increasing from the left going through about negative 8 and one half comma 0 to negative 4 comma 100 and then decreasing through negative 1 comma 55 and continuing down and to the right

Which function has the greater maximum?

a
h(r)

b
g(r)

c
h(r) and g(r) have the same maximum.

d
h(r) and g(r) do not have a maximum.