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)

O (2.9, 0)
O (1, 56)
O (0, 40)
O (56, 1)

Answer 1

Use the vertex formula t = -b/(2a). Here a = -16, b = 32, so t = -32/(2·-16) = 1.
h(1) = -16(1)^2 + 32(1) + 40 = 56.

Vertex: (1, 56).