Parabolic path Under ideal conditions an object thrown from level ground will follow a par...

Parabolic path Under ideal conditions an object thrown from level ground will follow a parabolic path of the form f(x)=ax2+ bx, where a and b are constants and x represents the horizontal distance traveled by the object.

(a) Determine a and b so that the object reaches a maximum height of 100 feet and travels a horizontal distance of 150 feet before striking the ground.

(b) Graph f(x)=ax2 + bx in the viewing rectangle [0, 180, 50] by [0, 120, 50].

(c) Graph y =kax2 + bx, where , in the same viewing rectangle of [0, 600, 50] by [0, 400, 50]. How does the constant k affect the path of the object?