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

Question

Quizplus · Accepted Answer

The phase shift of a cosine function $y = a \cos(bx + c) + d$ is given by $-\frac{c}{b}$. Here, $c = \frac{\pi}{4}$ and $b = 1$, so the phase shift is $-\frac{\pi}{4}$, which means $\frac{\pi}{4}$ units to the left.

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

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