Find the phase shift of the function.
-$$y = 4 \cos ( 3 \pi x + 2 )$$
A) $\frac { 2 } { 3 \pi }$ units to the left
B) $\frac { 2 } { 3 }$ units to the right
C) 2 units to the right
D) 2 units to the left

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 given by $-\frac{C}{B}$. For the given function $y = 4 \cos(3\pi x + 2)$, the phase shift is $-\frac{2}{3\pi}$, which means the graph is shifted $\frac{2}{3\pi}$ units to the left.

Find the Phase Shift of the Function y=4cos⁡(3πx+2)y = 4 \cos ( 3 \pi x + 2 )y=4cos(3πx+2)

Find the Phase Shift of the Function $y = 4 \cos ( 3 \pi x + 2 )$