# What is the phase shift, vertical displacement with respect to y=cosx for the graph y=cos(x-(5pi)/6)+16?

May 18, 2017

Phase shift: $5 \frac{\pi}{6}$
Vertical displacement: $16$

#### Explanation:

The equation is in the form:

$y = A \cos \left(b x - c\right) + d$

Where in this case , $A = B = 1$, $C = 5 \frac{\pi}{6}$, and $D = 16$

$C$ is defined as the phase shift. So the phase shift is $5 \frac{\pi}{6}$

$D$ is defined as the vertical displacement. So the vertical displacement is $16$