Question

An owl swoops down from its perch in a tree at 30 feet to catch field mice. It follows the function h=6t2 −24t+30
, where t is the time in seconds and h is the height in feet. Which of the following best interprets the vertex?(1 point)
Responses

(6,2)

left parenthesis 6 comma 2 right parenthesis

(2,6)

left parenthesis 2 comma 6 right parenthesis

(30,0)

left parenthesis 30 comma 0 right parenthesis

(0,30)

Answer 1

(2, 6)

The vertex is at t = -b/(2a) = 24/12 = 2 seconds and h(2) = 6 ft. So after 2 seconds the owl is at its lowest height, 6 feet above the ground.