Find the phase shift of the function.
-$$y = \sin \left( x + \frac { \pi } { 4 } \right)$$
A) $\frac { \pi } { 4 }$ units up
B) $\frac { \pi } { 4 }$ units down
C) $\frac { \pi } { 4 }$ units to the left
D) $\frac { \pi } { 4 }$ units to the right

Question

Quizplus · Accepted Answer

The phase shift of a sine function of the form $y = \sin(x + c)$ is $-c$, which means the graph is shifted $-\frac{\pi}{4}$ units horizontally. Since a negative sign indicates a shift to the left, the correct answer is $\frac{\pi}{4}$ units to the left.

Find the Phase Shift of the Function y=sin⁡(x+π4)y = \sin \left( x + \frac { \pi } { 4 } \right)y=sin(x+4π​)

Find the Phase Shift of the Function $y = \sin \left( x + \frac { \pi } { 4 } \right)$