A Football is thrown by a quarterback to a receiver. When the quarterback throws it, the ball is at the height of 6 feet above the ground. When the receiver catches it, he is 30 yards away from the quarterback and the ball is again at a height of 6 feet above the ground. The maximum height the ball reaches, in its path from the quarterback to the receiver, is 12 feet above the ground

Find the quadratic function that models the trajectory of the football, as thrown from the quarterback to the receiver. In this model, let y denote the height of the ball, in feet, and let x denote the dis
distance, in yards, from the quarterback.