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A programmer is writing the code for a new interactive basketball game. As a result, she...

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Advance Math

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.

  1. How high was the ball when the shooter shot it?
  2. What was the maximum height obtained by the ball?
  3. A rim of a basketball net is 10 feet high. For what distancewas the ball above the rim of the basketball net?
  4. 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?
  5. Create a graphical model, using technology, to verify yourcalculations.
  6. 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.

Answer & Explanation Solved by verified expert
4.1 Ratings (479 Votes)
In above graph x axis is distance d and y is height hfrom above graph it    See Answer
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