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

Question

Quizplus · Accepted Answer

The phase shift of the function $y = -2 \sin \left( x - \frac{\pi}{2} \right)$ is determined by the horizontal shift inside the sine function. The expression $x - \frac{\pi}{2}$ indicates a shift of $\frac{\pi}{2}$ units to the right.

Find the Phase Shift of the Function y=−2sin⁡(x−π2)y = - 2 \sin \left( x - \frac { \pi } { 2 } \right)y=−2sin(x−2π​)

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