Question 1119183
i believe your formula is incorrect.


you have:


h(x) = .002x^2 - 0.03x + 8


this results in a curve that bottoms out in the middle and extends upward on into infinity, never touching the ground.


that curve looks like this:


<img src = "http://theo.x10hosting.com/2018/062702.jpg" alt="$$$" >


i believe you should have:


h(x) = -.002x^2 - 0.03x + 8


that curve looks like this:


<img src = "http://theo.x10hosting.com/2018/062703.jpg" alt="$$$" >


given what i believe your equation should be, then:


the ball is at least 3 feet high 39 feet from the server and the ball touches the ground less than 60 feet from the server.


it therefore satisfies the conditions for a legal serve.