To write: The function for the sinusoid with the given maximum point
The sinusoid function for the given maximum and minimum points is
Given information: The given maximum point is
Formula used: The general equation of the sinusoid function is given as:
Here,
Calculation:
From the given points the maximum value is
Calculated the vertical shift of the graph by the mean of the maximum and minimum values.
The graph is a cosine function with no horizontal shift.
The amplitude can be calculated by the half of the difference between maximum and minimum.
As the graph is a reflection, so
Calculate the period of the function.
Substitute
Substitute
Therefore, the sinusoid function for the given maximum and minimum points is
Chapter 10 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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