To find: Write a cosine function that represents the height of water.
Answer to Problem 4GP
Height of the water is represented by the function
Explanation of Solution
Given information:
Height of water in a wave pool oscillates between a maximum of
Wave generator pumps
First we need to write the equation for the midline, and determine the vertical shift.
So, the midline is
Now we need to find amplitude.
Amplitude is the difference between the midline value and the maximum value.
So, amplitude is
Now we need to find period
Since there are
So, the period is
Write an equation for the function
On substituting values
We get
Therefore,
Height of the water is represented by the function
Graph of the function is
Chapter 12 Solutions
Glencoe Algebra 2 Student Edition C2014
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