The figure given alongside shows the path of a diver. When she takes a jump from the diving board . Clearly it is 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)=-16t^(2)+8t+k`
A polynomial q(t) with sum of zeroes as `1` and the product as `-6` is modelling Anu's height in feet above the water at any time t ( in seconds) . Then q (t) is given by:

Options

A. `t^2+t+6`
B. `t^2+t-6`
C. `-8t^2+8t+48`
D. `8t^2-8t+48`

Answer

C