Writing a trigonometric function for a bouncing ball.

Write a trigonometric function for a ball dropped from a distance of 5ft from the floor. Let the x-axis represent the time after the ball was dropped and the y axis represent the height in feet. Address these issues:
1. Explain the process you used to find the function. Include all math steps. Why did you select this particular equation?
2. What did you have to do to modify this equation to get it to fit to the behavior of the bouncing ball?
3. Graph the equation and label axes.

Assume in this model that the ball rebounds 3/4 of its height each bounce.