Answer
$\frac{\pi}{6}$. $right$, $3$, $2$, $down$.
Work Step by Step
The graph of $y = -2+3 cos (x-\frac{\pi}{6})$ is obtained by shifting the graph of $y = cos (x)$ $\frac{\pi}{6}$ units horizontally to the $right$, stretching it vertically by a factor of $3$, and then shifting it $2$ units vertically $down$.
