Find the phase shift of the function.
-$$y = - 3 \cos ( 4 x + \pi )$$
A) $\frac { \pi } { 3 }$ units to the left
B) $3 \pi$ units to the right
C) $4 \pi$ units to the right
D) $\frac { \pi } { 4 }$ units to the left

Question

Quizplus · Accepted Answer

The phase shift of a cosine function of the form $y = A \cos(Bx + C)$ is given by $-\frac{C}{B}$. For the function $y = -3\cos(4x + \pi)$, $C = \pi$ and $B = 4$, so the phase shift is $-\frac{\pi}{4}$ units, which means $\frac{\pi}{4}$ units to the left.

Find the Phase Shift of the Function y=−3cos⁡(4x+π)y = - 3 \cos ( 4 x + \pi )y=−3cos(4x+π)

Find the Phase Shift of the Function $y = - 3 \cos ( 4 x + \pi )$