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[5/7 Points]DETAILSPREVIOUS ANSWERSCLARKBIALG1 11.4.048.MI.

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PRACTICE ANOTHERA basketball player shoots a basket from 12 ft away. The ball flies along a parabolic path given by the data.

Distance from Basket (feet)	Height of Ball (feet)
12	6.1
10	9.9
9	11.3
5	13.8
4	13.6
0	9.6

(a) What variables are appropriate?

d = The distance of the ball (in feet) from the player H = The height of the ball in feetd = The distance of the ball (in feet) from the basket H = The height of the ball in feet d = The distance of the ball (in feet) from the basket H = The horizontal distance covered by the ball in feet

(b) Find an equation for a model of these data. (Use the fourth set of values for the vertex and the second set of values given in the table to calculate your equation.) ---Select--- H(d) d(H) =

(c) What is the height of the ball when it was 8 ft from the basket? (Round your answer to one decimal place. Include units with your numerical answer.)

The ball was at a height of when it was 8 feet from the basket.

(d) Where did the the ball reach its maximum height? (Include units with your numerical answer.)

The ball reached its maximum height of 13.8 feet when it was from the basket.

(d) When was the ball 10 ft high? (Round your answers to two decimal places. Include units with your numerical answers.)

The ball was 10 feet high when it was about (smaller value) or (larger value) from the basket.