Determine the phase shift of the function.
-$$y = - 3 \cos ( 8 x + \pi )$$
A) $\frac { \pi } { 8 }$ units to the left
B) $\frac { \pi } { 3 }$ units to the left
C) $3 \pi$ units to the right
D) $8 \pi$ units to the right

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 given function $y = -3\cos(8x + \pi)$, $B = 8$ and $C = \pi$, so the phase shift is $-\frac{\pi}{8}$ units, which means $\frac{\pi}{8}$ units to the left.

Determine the Phase Shift of the Function y=−3cos⁡(8x+π)y = - 3 \cos ( 8 x + \pi )y=−3cos(8x+π)

Determine the Phase Shift of the Function $y = - 3 \cos ( 8 x + \pi )$