What is the equation for y= and The high of the basketball after 1.7 second? Please explain your answer.

Step-by-step explanation:

ax² + bx + c = y

Plug in data points to get a system of equations in three unknowns.

(0.5,18): 0.25a + 0.5b + c = 18

(1,24): a + b + c = 24

(1.5,22): 2.25a + 1.5b + c = 22

Solving the system:  a = -16, b = 36, c = 4

y = -16x² + 36x + 4

When x = 1.7, y = -16·1.7² + 36·1.7 + 4 = 18.96 ft

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80