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Write an Equation for the Function That Is Described by the Given

Question 20

Multiple Choice

Write an equation for the function that is described by the given characteristics. ​
A cosine curve with a period of 4π,an amplitude of 7,a right phase shift of π2\frac { \pi } { 2 } ,and a vertical translation up 2 units.


A) y=2+7cos(x2π4) y = 2 + 7 \cos \left( \frac { x } { 2 } - \frac { \pi } { 4 } \right)
B) y=2+7cos(x2+π) y = 2 + 7 \cos \left( \frac { x } { 2 } + \pi \right)
C) y=27cos(x2π4) y = 2 - 7 \cos \left( \frac { x } { 2 } - \frac { \pi } { 4 } \right)
D) y=2+7cos(x2π) y = 2 + 7 \cos \left( \frac { x } { 2 } - \pi \right)
E) y=2+7cos(xπ) y = 2 + 7 \cos ( x - \pi )

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