The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola.
Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time‘t’ in seconds is given by the polynomial h(t) such that
`h(t) = -16 t^(2) +8t +k`.
Rita’s height (in feet) above the water level is given by another polynomial p(t) with zeroes -1 and 2. Then p(t) is given by-

Options

A. `t^2+t-2`
B. `t^2+2t-1`
C. `24t^2-24t+48`
D. `-24t^2+24t+48`

Answer

D