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

question 101

Multiple Choice

Write an equation for the function that is described by the given characteristics.
A sine curve with a period of 4 $\pi$ , an amplitude of 4, a left phase shift of $\frac { \pi } { 4 }$ , and a vertical translation down 5 units.

• A) \(y = 4 \sin \left( x + \frac { \pi } { 8 } \right) - 5\)
• B) \(y = 4 \sin \left( \frac { x } { 2 } + \frac { \pi } { 8 } \right) + 5\)
• C) \(y = 4 \sin \left( \frac { x } { 2 } + \frac { \pi } { 8 } \right) - 5\)
• D) \(y = 4 \sin \left( \frac { x } { 2 } + \pi \right) - 5\)
• E) \(y = 5 \sin \left( \frac { x } { 2 } + \frac { \pi } { 8 } \right) - 4\)

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