Answer:
The ball will go over the net when she's standing 2 feet away from the net, but not at 4 ft from the net
Explanation:
Suppose [tex]f(x) = -0.25(x-2)^2 + 8[/tex] then when the player is 2ft from the net, we can plug in x = 2:
[tex]f(2) = -0.25(2-2)^2 + 8 = 0 + 8ft[/tex]
As 8 feet > 7 ft 4 in, the ball will go over the net
If the player moves back so that she's 4 feet from the net, plug in x = 4:
[tex]f(4) = -0.25(4 - 2)^2 + 8 = -1 + 8 = 7 ft[/tex]
As 7 ft < 7 ft 4 in, this time the ball will NOT go over the net
