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

(2,6)
left parenthesis 2 comma 6 right parenthesis

(30,0)
left parenthesis 30 comma 0 right parenthesis

(0,30)
left parenthesis 0 comma 30 right parenthesis

(6,2)

Answer 1

(2, 6)

At t = −b/(2a) = 24/12 = 2 seconds, h(2) = 6(4) − 48 + 30 = 6 feet. So the vertex means the owl reaches its lowest height, 6 ft, after 2 seconds.