At midnight the water at a particular beach is at high tide. at the same time a gauge at the end of a pier reads 10 feet. low tide is reached at 6 am when the gauge reads 4ft.
answer the questions that follow using this scenario.
sketch the graph of this situation assuming the cycle repeats. show at least 2 cycles. label the x- and y-axes with the appropriate scale and title. upload your sketch.

Refer to the figure shown below.

From midnight (high tide) to 6 AM (low tide) is 6 hours, and it is half the period.
Therefore the period is
T = 12 hours.

Half the difference between 10 ft and 6 ft is the amplitude. 
The amplitude is
A = 3 ft

On a graph of x versus t, where x = height (ft) after t hours, the mathematical model is


The graph of the mathematical model agrees with the illustrated sketch, as shown.

Just divide the x axis (the top) by 2 or multiply the y axis (the bottom) by 2