A programmer is writing the code for a new interactivebasketball game. As a result, she is using quadratic relations tomodel the path of the ball. During the game, when a ball is shot,the path it follows is modelled by the quadratic relation, h=-0.2d^2 + 3d +6, where h represented the height of the ball abovethe ground and d represented the distance of the ball from theshooter. Both distances are measured in feet.
- How high was the ball when the shooter shot it?
- What was the maximum height obtained by the ball?
- A rim of a basketball net is 10 feet high. For what distancewas the ball above the rim of the basketball net?
- How far would the shooter have to be away from the rim of thebasketball net for the ball to hit the rim of the basketball netand possibly go in?
- Create a graphical model, using technology, to verify yourcalculations.
- Create your own quadratic relation that would model the path ofa shot from a distance of 15 feet that would hit the rim of thebasketball net. Explain how you obtained your answer.
Provide step-by-step solutions that are communicated clearly forall questions.
