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.
(-2,44)
(44,-2)
(-5,0)
(1,0)
To find the vertex of the equation h = -6t^2 - 24t + 20, we need to find the values of t and h at the vertex. The t-coordinate of the vertex can be found using the formula t = -b / (2a), where a = -6 and b = -24.
t = -(-24) / (2*(-6))
t = 24/(-12)
t = -2
To find the h-coordinate of the vertex, substitute t = -2 back into the equation:
h = -6(-2)^2 - 24(-2) + 20
h = -6(4) + 48 + 20
h = -24 + 48 + 20
h = 44
Therefore, the vertex of the equation is (-2, 44).
The correct answer is: (-2,44)