The period of the function $f ( x ) = 6 - 3 \sin \left( - \frac { x } { 4 } - 2 \right)$ is

A) $\frac { \pi } { 4 }$
B) $\frac { \pi } { 2 }$
C) $2 \pi$
D) $4 \pi$
E) $8 \pi$

Name: The period of the function $f ( x ) = 6 - 3 \sin \left( - \frac { x } { 4 } - 2 \right)$ is A) $\frac { \pi } { 4 }$ B) $\frac { \pi } { 2 }$ C) $2 \pi$ D) $4 \pi$ E) $8 \pi$
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Question

The period of the function $f ( x ) = 6 - 3 \sin \left( - \frac { x } { 4 } - 2 \right)$ is

A) $\frac { \pi } { 4 }$
B) $\frac { \pi } { 2 }$
C) $2 \pi$
D) $4 \pi$
E) $8 \pi$

Quizplus · Accepted Answer

The period of a sine function $\sin(bx + c)$ is $\frac{2\pi}{|b|}$. Here, $b = -\frac{1}{4}$, so the period is $\frac{2\pi}{|-1/4|} = 8\pi$.

The Period of the Function f(x)=6−3sin⁡(−x4−2)f ( x ) = 6 - 3 \sin \left( - \frac { x } { 4 } - 2 \right)f(x)=6−3sin(−4x​−2)

The Period of the Function $f ( x ) = 6 - 3 \sin \left( - \frac { x } { 4 } - 2 \right)$