Amanda is attempting to launch a model rocket over the roof of her two-story house. The path of the rocket, without consideration of the house, can be modeled by a quadratic equation, where y represents the distance above the ground in yards and x represents the horizontal distance in yards away from Amanda.

The rocket will be launched from the ground 1 yard in front of Amanda.
The rocket will reach a maximum height of 16 yards above the ground when the rocket is 5 yards in front of Amanda as measured along the ground.
The rocket would land on the ground 9 yards in front of Amanda.
The roof of the house has a pitch of 4:3, where the pitch compares the vertical rise of the roof to the horizontal run of the roof. The diagram shows Amanda at the origin and the starting location of the rocket.
Which system of equations could be used to determine where on the roof the rocket will land?