For each of the following functions, choose the statement that best describes how the graph of the function differs from the graph of $$f(\theta) = 5\cos(6\theta) +6.$$

$g(\theta) = 5\cos(6\theta+1)+6$
A. $g(\theta)$ is a shift of $f(\theta)$ by 1 unit to the left.
B. $g(\theta)$ is a shift of $f(\theta)$ by 1 unit to the right.
C. $g(\theta)$ is a shift of $f(\theta)$ by $\frac{1}{6}$ unit to the left.
D. $g(\theta)$ is a shift of $f(\theta)$ by $\frac{1}{6}$ unit to the right.
E. None of the above statements are true.

$j(\theta) = 5\cos(6(\theta+1))+6$
A. $h(\theta)$ is a shift of $f(\theta)$ by 1 unit to the left.
B. $h(\theta)$ is a shift of $f(\theta)$ by 1 unit to the right.
C. $h(\theta)$ is a shift of $f(\theta)$ by $\frac{1}{6}$ unit to the left.
D. $h(\theta)$ is a shift of $f(\theta)$ by $\frac{1}{6}$ unit to the right.
E. None of the above statements are true.

$k(\theta) = 5\cos(6\theta-1)+6$
A. $k(\theta)$ is a shift of $f(\theta)$ by 1 unit to the left.
B. $k(\theta)$ is a shift of $f(\theta)$ by 1 unit to the right.
C. $k(\theta)$ is a shift of $f(\theta)$ by $\frac{1}{6}$ unit to the left.
D. $k(\theta)$ is a shift of $f(\theta)$ by $\frac{1}{6}$ unit to the right.
E. None of the above statements are true.

Hint: