Determine the quadratic function whose graph is given.
-A projectile is thrown upward so that its distance above the ground after t seconds is h = -12t² + 480t. After how many seconds does it reach its maximum height?

Question

Quizplus · Accepted Answer

The maximum height of a projectile in a quadratic equation of the form $h = at^2 + bt + c$ is reached at $t = -\frac{b}{2a}$. Here, $a = -12$ and $b = 480$, so $t = -\frac{480}{2(-12)} = 20$ seconds.

Determine the Quadratic Function Whose Graph Is Given