Question

A quarterback can throw a football in a perfect parabolic arc to a receiver 40 yards downfield.

The quarterback lets go of the ball 6 feet above the ground and the receiver catches the ball 6 feet above the ground.
The ball reaches a maximum height of 16 feet above the ground halfway to the receiver.

Write an algebraic rule that models the path of the football. Show all your work and explain your reasoning.

Answer 1

Answer:

f(x) = -0.025x2+x+6

Step-by-step explanation:

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