Exercise 1 Page 88

In order to identify whose throw travels higher, we need to determine the maximum height each throw traveled. We can utilize the equation for the axis of symmetry of a parabola to find the location of your throw. Now we need to substitute the values for the given equation into these formulas. This fraction can now be simplified. Now we have identified the location of the axis of symmetry. This tells us the $x\text{-}$coordinate for your vertex. This means $\frac{65}{32}$ is the distance at which the maximum height of your throw occurs. We can substitute that value into the given equation to find the $y\text{-}$coordinate. We have now identified the $y\text{-}$coordinate of the vertex of your throw. We can use the coordinates to compare your throw to that of your friend. Let's graph your vertex to visually show the difference.

Looking at the graph, we can estimate your friend's throw reached about $80$ feet, whereas your throw only reached $71.01$ feet. Therefore, the height of your throw is less than the height of your friend's throw.