Clovis is standing at the edge of a cliff which slopes 4 feet downward from him for every 1 horizontal foot. He launches a small model rocket from where he is standing. With the origin of the coordinate system located where is standing, and the x-axis extending horizontally, the path of the rocket is described by the formula y = -2x2+80x.

a) Give a function h= f(x) relating the height of the rocket above the ground to its x coordinate

b) Find the maximum height of the rocket above the sloping ground? h = ____

What is the x-coordinated when it is at its maximum height?

c) Clovis measures its height h of the rocket above the sloping ground while it is going up. Give a function x = g(h) relating the x-coordinate of the rocket to h

d) does this function still work when the rocket is going down? explain