A potential lifeguard is studying for the lifeguard exam. They jump off the side of the boat into ocean . The function
f
(
x
)
=
x
2
−
10
x
+
16
models the height, f(x), of the diver in meters at x seconds.



Use the process of completing the square to reveal the vertex of the function. Interpret the vertext in the context of the problem. Then show that your solution is valid. Show your work or explain how you found your answer.


Enter your answer and your work or explanation in the space provided.