h(t) = t^2 - 12t + 27
Factored form
h(t) = (t - 9) (t - 3)
Look at the graph here (in x rather than t) : https://www.desmos.com/calculator/gug8sulzit
We can interpret this graph as follows
At t = 0 sec, the diver is 27 feet above the water
At t = 3 sec, the diver hits the water
At t = 6 sec, the diver is 9 ft below the surface
At = 9 sec, the diver returns to the surface
True statements
The swimmer comes back up 9 seconds after the timer was started.
The swimmer dives into the water 3 seconds after the timer was started.
