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 he is standing, and the x-axis extending horizontally, the path of the rocket is described by the formula y = -2x2 + 120x. (a) Give a function h = f(x) relating the height h of the rocket above the sloping ground to its x-coordinate. f(x) = -2x2 + 124x (b) Find the maximum height of the rocket above the sloping ground. h = 30 x ft What is its x-coordinate when it is at its maximum height? X = 1800 x ft (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. g(h) = (d) Does this function still work when the rocket is going down? O Yes O No

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