The horizontal shift of the function $f ( x ) = - \frac { 2 } { 3 } + 2 \cos ( 3 x - 4 )$ is
A)4 units to the left
B)4 units to the right
C)units to the left $\frac { 4 } { 3 }$
D)units to the right $\frac { 4 } { 3 }$
E)unit to the left $\frac { 3 } { 4 }$

Question

Quizplus · Accepted Answer

The horizontal shift of a cosine function $a \cos(bx - c)$ is given by $\frac{c}{b}$. Here, $c = 4$ and $b = 3$, so the shift is $\frac{4}{3}$ units to the right.

The Horizontal Shift of the Function f(x)=−23+2cos⁡(3x−4)f ( x ) = - \frac { 2 } { 3 } + 2 \cos ( 3 x - 4 )f(x)=−32​+2cos(3x−4)

The Horizontal Shift of the Function $f ( x ) = - \frac { 2 } { 3 } + 2 \cos ( 3 x - 4 )$