Question

A high diver jumps off a platform 40 feet above the water. The height, h, in feet of the diver above the water at any time, t, in seconds is given by the function h=−16t^2+32t+40
. Plot points to graph the equation. Which ordered pair represents the vertex?(1 point)

(56, 1)


(0, 40)


(2.9, 0)


(1, 56)

Answer 1

The vertex occurs at t = −b/(2a) = −32/(2·−16) = 1.
h(1) = −16(1)^2 + 32(1) + 40 = 56.

So the vertex is (1, 56).