Find the phase shift of the function.
-$$y = 5 \sin \left( x - \frac { \pi } { 4 } \right)$$
A) 5 units down
B) $\frac { \pi } { 4 }$ units to the right
C) 5 units up
D) $\frac { \pi } { 4 }$ units to the left

Question

Quizplus · Accepted Answer

The phase shift of a trigonometric function of the form $y = a \sin(b(x - c)) + d$ or $y = a \cos(b(x - c)) + d$ is given by the value of $c$. In this case, $c = \frac{\pi}{4}$, which means the graph is shifted $\frac{\pi}{4}$ units to the right.

Find the Phase Shift of the Function y=5sin⁡(x−π4)y = 5 \sin \left( x - \frac { \pi } { 4 } \right)y=5sin(x−4π​)

Find the Phase Shift of the Function $y = 5 \sin \left( x - \frac { \pi } { 4 } \right)$