An owl swoops down from its perch in a tree at 20 feet to catch field mice below. It follows the function h=−6t2−24t+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
(−5,0)
left parenthesis negative 5 comma 0 right parenthesis
(44,−2)
left parenthesis 44 comma negative 2 right parenthesis
(1,0)
left parenthesis 1 comma 0 right parenthesis
To find the vertex of the function h = -6t^2 - 24t + 20, we can use the formula t = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form. In this case, a = -6 and b = -24.
t = -b/2a = -(-24)/(2*(-6)) = 24/12 = 2
Now, substitute t = 2 into the equation to find the corresponding h value.
h = -6(2)^2 - 24(2) + 20
h = -24 - 48 + 20
h = -52
Therefore, the vertex of the equation is (2, -52).
None of the given ordered pairs match the vertex of the equation.