Determine the phase shift of the function.
-$$y = 3 \cos \left( - 2 x + \frac { \pi } { 3 } \right)$$
A) $\frac { \pi } { 6 }$ units to the right
B) $\frac { \pi } { 6 }$ units to the left
C) $\frac { \pi } { 3 }$ units to the right
D) $\frac { \pi } { 3 }$ units to the left

Question

Quizplus · Accepted Answer

The phase shift formula for $y = a \cos(bx - c)$ is $\frac{c}{b}$. Here, $c = \frac{\pi}{3}$ and $b = -2$, so the phase shift is $\frac{\frac{\pi}{3}}{-2} = -\frac{\pi}{6}$, indicating a shift of $\frac{\pi}{6}$ units to the right.

Determine the Phase Shift of the Function y=3cos⁡(−2x+π3)y = 3 \cos \left( - 2 x + \frac { \pi } { 3 } \right)y=3cos(−2x+3π​)

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