Find the phase shift of the function.
-$$y = - 2 \sin \left( x - \frac { \pi } { 4 } \right)$$
A) 4 units down
B) 4 units up
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 $y = a \sin(bx - c) + d$ is given by $\frac{c}{b}$. Here, $c = \frac{\pi}{4}$ and $b = 1$, so the phase shift is $\frac{\pi}{4}$ units to the right.

Find the Phase Shift of the Function y=−2sin⁡(x−π4)y = - 2 \sin \left( x - \frac { \pi } { 4 } \right)y=−2sin(x−4π​)

Find the Phase Shift of the Function $y = - 2 \sin \left( x - \frac { \pi } { 4 } \right)$