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

(1, 56)
open paren 1 comma space 56 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

Answer 1

(1, 56)

Using the vertex formula t = -b/(2a): t = -32/(2·-16) = 1. Then h(1) = -16 + 32 + 40 = 56, so the vertex is (1, 56).