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

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

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

Answer 1

(2, 6)

The vertex is at t = -b/(2a) = 24/12 = 2 seconds; h(2) = 6(4) − 48 + 30 = 6 feet. So the owl's minimum height is 6 ft at 2 seconds.