We know that that the water level is 3 feet below your deck. (-3) When the tide goes out, the water level lowers 1 foot. (-1) A storm surge comes in, the water level rises 2 feet. (+2)
New water level: -3-1+2= -4+2= -2 The new water level is 2 feet below the dock.
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The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: . According to the graph, the function is bounded between 5 () and -5 (), and the midpoint value () is 0. The amplitude is determined by the following calculation: