Determine the phase shift of the function.
-$$y = 4 \cos ( 4 \pi x + 5 )$$
A) $\frac { 5 } { 4 \pi }$ units to the left
B) $\frac { 5 } { 4 }$ units to the right
C) 5 units to the left
D) 5 units to the right

Question

Quizplus · Accepted Answer

The phase shift of a trigonometric function in the form $y = A \cos(Bx + C)$ or $y = A \sin(Bx + C)$ is calculated as $-\frac{C}{B}$. For the given function $y = 4 \cos(4\pi x + 5)$, the phase shift is $-\frac{5}{4\pi}$, which means the graph is shifted $\frac{5}{4\pi}$ units to the left.

Determine the Phase Shift of the Function y=4cos⁡(4πx+5)y = 4 \cos ( 4 \pi x + 5 )y=4cos(4πx+5)

Determine the Phase Shift of the Function $y = 4 \cos ( 4 \pi x + 5 )$