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=−16t2+32t+40
. Plot points to graph the equation. Which ordered pair represents the vertex?(1 point)
Responses

(56, 1)

open paren 56 comma space 1 close paren

(0, 40)

open paren 0 comma space 40 close paren

(2.9, 0)

open paren 2 point 9 comma space 0 close paren

(1, 56)

Answer 1

The vertex occurs at t = -b/(2a) with a = -16 and b = 32: t = -32/(2·-16) = 1. Then h(1) = -16(1)^2 + 32(1) + 40 = 56.

So the vertex is (1, 56).