Given the table below that represents the average recorded distance and height of a basketball when hitting a golf ball:

(a) Find a quadratic regression model to represent the data.

(b) Using the model, what is the approximate maximum height of the ball?

(c) Using the model, at what distance will the height be 7 feet?
 

Distance.x Height, f(x) O26 0 4 2 8.4 6 12.1 9 14.2 12 13.2 13 10.5 15 9.8