A possible function is given by :
h(t) = 4sin [ (pi/8)t - pi/2 ] + 5
The amplitude is 4, the period is 16 radians ....[ 1 rad = 1 hour]
The midline is given by :
h(t) = 5
Here's the graph of both functions : https://www.desmos.com/calculator/ic00n0hnlr
