The Hudson Bay tides vary between 3 feet and 9 feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 14 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon?

Step-by-step explanation:

The function that could model this periodic phenomenon will be of the form

The tide varies between 3ft and 9ft, which means its amplitude is

and its midline is

.

Furthermore, since at the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is .

The period of the full cycle is 14 hours, which means

giving us

With all of the values of the variables in place, the function modeling the situation now becomes

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yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled