math help please asap!!

Question

Let h(t)=-16t^2+64t+80 represent the height of an object above the ground after t seconds.

What characteristic of a quadratic function is the question asking you to find? Explain

Answer 1

We ask ourselves the question. How long does it take for the object to fall to the ground, and when is the height equal to zero? We ask, when is t = 0, too? We set up the equation -16t^2 + 64t + 80 = 0, and find the solutions, and we factor out -16, and we have -16(t^2 - 4t - 5) = 0, and

-16(t - 5)(t + 1) = 0, and t = 5, and t = -1. At t = 0, h(t) = 80. When this quadratic function function is graphed, h(t) is the y, and the t = 5, and -1 is on the x - axis.