An owl swoops down from its perch in a tree at 20 feet to catch field mice below. It follows the function h=−6t^2−24t+20 . Plot points to graph the equation. Which ordered pair represents the vertex?(1 point)
Responses
(−2,44)
left parenthesis negative 2 comma 44 right parenthesis
(44,−2)
left parenthesis 44 comma negative 2 right parenthesis
(1,0)
left parenthesis 1 comma 0 right parenthesis
(−5,0)
The vertex of the parabola represented by the function h=-6t^2-24t+20 can be found using the formula t = -b / 2a. In this case, a = -6 and b = -24, so t = -(-24) / (2*(-6)) = 24 / (-12) = -2.
To find the height at t = -2, we substitute t = -2 into the function h: h = -6*(-2)^2 - 24*(-2) + 20 = -24 + 48 + 20 = 44.
Therefore, the vertex of the parabola is (-2, 44).
So, the correct answer is:
(−2, 44)
left parenthesis negative 2 comma 44 right parenthesis