Question
Question 6 (Bonus) (2 points)
Given
. What is the shift? (round to 2 decimal places.)
Given
Ask by Mcdonald Craig. in the United States
Dec 14,2024
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Tutor-Verified Answer
Answer
The shift is 0.50.
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Bonus Knowledge
In the equation
, the vertical shift is determined by the constant term outside the cosine function. Here, it is
, meaning the entire graph shifts upward by 10 units from the standard position of the cosine function.
For horizontal shifts, we look inside the cosine’s argument. The expression
indicates a shift caused by the term
. To find the horizontal shift, we set
, leading to
. Since the cosine function is periodic, we consider both shifts together; thus, this function is shifted 0.50 units to the right and 10 units up from its standard position!