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?
• (-2,44)
• (1,0)
• (-5,0)
• (44,-2)
To find the vertex of a quadratic function in the form h = at² + bt + c, we can use the formula t = -b/2a. In this case, a = -6 and b = -24.
t = -(-24)/2(-6)
t = 24/12
t = 2
To find the corresponding height (h) at t = 2, we can substitute t = 2 into the equation h = -6t² - 24t + 20.
h = -6(2)² - 24(2) + 20
h = -6(4) - 48 + 20
h = -24 - 48 + 20
h = -52
Therefore, the vertex is (2, -52). None of the given ordered pairs match the vertex, so the correct answer is None of the above.