Question

A firework is set off from the roof of a building. Its height, h, above the ground in feet after t seconds is given by the function h(t)=-t^2+6t+16. How tall is the building? What is the maximum height of the firework? How long would it take the firework to reach ground? Explain how the key features of the function are related to your answers.

Help?

Answer 1

(a) what is h(0) ?
(b) as with all parabolas, the vertex is at t = -b/2a = -6/-2 = 3
(c) solve h(t) = 0

think of what you know about parabolas.