Question

A volleyball is served from a height of 6 feet with an initial velocity of 33 feet per second. The situation is modeled using the function h=−6t2+33t+6
, where h is the height in feet and t is time in seconds. Using the function, which ordered pair represents the vertex?(1 point)
Responses

(2.75,51.375)

left parenthesis 2.75 comma 51.375 right parenthesis

(0,6)

left parenthesis 0 comma 6 right parenthesis

(5.676,0)

left parenthesis 5.676 comma 0 right parenthesis

(51.375,2.75)

Answer 1

(2.75, 51.375)

The vertex occurs at t = -b/(2a) = 33/(12) = 2.75 s, and h(2.75) = 51.375 ft.