Find the phase shift of the function.
-$$y = 2 - 2 \sin \left( 6 x + \frac { \pi } { 4 } \right)$$
A) $\frac { \pi } { 24 }$ units to the right
B) $\frac { \pi } { 24 }$ units to the left
C) $\frac { \pi } { 4 }$ units to the left
D) $\frac { \pi } { 8 }$ units to the right

Question

Quizplus · Accepted Answer

The phase shift is calculated by solving $6x + \frac{\pi}{4} = 0$ for $x$, which gives $x = -\frac{\pi}{24}$. This indicates a shift $\frac{\pi}{24}$ units to the left.

Find the Phase Shift of the Function y=2−2sin⁡(6x+π4)y = 2 - 2 \sin \left( 6 x + \frac { \pi } { 4 } \right)y=2−2sin(6x+4π​)

Find the Phase Shift of the Function $y = 2 - 2 \sin \left( 6 x + \frac { \pi } { 4 } \right)$