To state: The type of function that can be used to model a sinusoid whose y -intercept occurs at the minimum value of the function if any sinusoid can be modeled by both a sine function and a cosine function.
Cosine function can be used because it is easier to model the function.
Given information:
The given statement says to explain the type of function that can be used to model a sinusoid whose y -intercept occurs at the minimum value of the function if any sinusoid can be modeled by both a sine function and a cosine function.
Explanation:
It is given that any sinusoid can be modeled by both a sine function and a cosine function. Thus the convenient function can be chosen from them.
If there is a sinusoid whose y -intercept occurs at the minimum value of the function, then the graph can be modeled by the either way:
Thus, it can be seen that the cosine function is an easier way to model the function and the graph of the cosine will be a reflection in the x -axis with no horizontal shift.
Chapter 10 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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