A rocket is launched vertically from the ground with an initial velocity of 48 ft/sec .

(a) Write a quadratic function that shows the height, in feet, of the rocket t seconds after it was launched.

(b) Graph on the coordinate plane.

(c) Use your graph from (b) to determine the rocket’s maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air.