The height in feet of an object t seconds after being dropped: h(t)=576-16t2

Question

The height in feet of an object t seconds after being dropped: h(t)=576-16t2

a. Domain:

b. Modify graph:

c. Vertex:

d. Zeros:

Answer 1

The domain of h(t) as stated is t≥0.

It only makes physical sense up to time t when h(t)=0, i.e. when t=6

There is no vertex...unless you consider the point at t=0 the vertex.

The only zero is at t=6