Find the phase shift of the function.
-$$y = 3 \cos \left( x + \frac { \pi } { 2 } \right)$$
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 $y = a \cos(bx + c)$ is $-\frac{c}{b}$. Here, $c = \frac{\pi}{2}$ and $b = 1$, so the phase shift is $-\frac{\pi}{2}$, which means $\frac{\pi}{2}$ units to the left.

Find the Phase Shift of the Function y=3cos⁡(x+π2)y = 3 \cos \left( x + \frac { \pi } { 2 } \right)y=3cos(x+2π​)

Find the Phase Shift of the Function $y = 3 \cos \left( x + \frac { \pi } { 2 } \right)$