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

question 112

Multiple Choice

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

• A) \(y = 2 + 7 \cos \left( \frac { x } { 2 } - \frac { \pi } { 4 } \right)\)
• B) \(y = 2 + 7 \cos \left( \frac { x } { 2 } + \pi \right)\)
• C) \(y = 2 - 7 \cos \left( \frac { x } { 2 } - \frac { \pi } { 4 } \right)\)
• D) \(y = 2 + 7 \cos \left( \frac { x } { 2 } - \pi \right)\)
• E) \(y = 2 + 7 \cos ( x - \pi )\)

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