Question

An owl swoops down from its perch in a tree at 30 feet to catch field mice. It follows the function h = 6t^2 -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)

(0,30)
(6,2)
(2,6)
(30,0)

Answer 1

(2, 6)

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