Chapter 6.2, Problem 74E

Path of a Softball The path of a softball is modeled by

$-12.5\left(y-7.125\right)={\left(x-6.25\right)}^2$

where $x$ and $y$ are measured in feet, with $x=0$ corresponding to the position from which the ball was thrown.

(a) Use a graphing utility to graph the trajectory of the softball.

(b) Use the trace feature of the graphing utility to approximate the highest point and the range of the trajectory.