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

Question

Quizplus · Accepted Answer

The phase shift of a cosine function of the form $y = a \cos(b(x - c)) + d$ is given by $c$. In this case, the function is $y = 2 \cos \left( x + \frac { \pi } { 2 } \right)$, which can be rewritten as $y = 2 \cos \left( (x - (-\frac { \pi } { 2 })) \right)$. This indicates a phase shift of $\frac { \pi } { 2 }$ units to the left.

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

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