The height h(t) (in feet) of the ball that was kicked is function of time t in seconds. If h(t) is quadratic function equals to the product of -3/50 of the time and the time is less by 25 seconds, then

Determine the quadratic function of h(t) in general form.
Determine the vertex form of the quadratic form of the quadratic function defined by h(t).

geez - all those words. Do you mean

h(t) = -3/50 t(t-25)
??? Why not just say so.
since the vertex is midway between the roots, you know that it will be where t = 25/2
So now just find h(25/2) and the other stuff ...