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

question 319

Multiple Choice

Write an equation for the function that is described by the given characteristics.
A cosine curve with a period of $\pi$ , an amplitude of 6, a left phase shift of $\pi$ , and a vertical translation down $\frac { 4 } { 3 }$ units.

• A) \(y = 6 \cos ( 2 x + \pi ) - \frac { 4 } { 3 }\)
• B) \(y = 6 \cos ( 2 x + 2 \pi ) - \frac { 4 } { 3 }\)
• C) \(y = 6 \cos ( 2 x + 2 \pi ) + \frac { 4 } { 3 }\)
• D) \(y = 6 \cos ( x + 2 \pi ) - \frac { 4 } { 3 }\)
• E) \(y = 6 \cos ( x + \pi ) - \frac { 4 } { 3 }\)

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