A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x), in feet, can be modeled by f(x) = -0.025x² + x + 6, where x is the ball’s horizontal distance, in yards, from the quarterback.

a. What is the ball’s maximum height and how far from the quarterback does this occur?

b. From what height did the quarterback toss the football?

c. If the football is not blocked by a defensive player nor caught by the receiver, how far down the field will it go before hitting the ground? Round to the nearest tenth of a yard.

d. Graph the function that models the football’s parabolic path.