# How do you find the period, phase and vertical shift of y=cottheta+6?

Mar 1, 2018

Amplitude $= a = 1$, Period $\frac{\pi}{b} = \pi$, Phase shift $\frac{c}{b} = 0$,

vertical shift $= d = 6$

#### Explanation:

Standard form of equation is $y = a \cot \left(b \theta - c\right) + d$

Given $y = \cot \theta + 6$

$a = 1 , b = 1 , c = 0 , d = 6$

Amplitude $= a = 1$

Period $= \frac{\pi}{|} b | = \pi$

Vertical shift $= d = 6$

graph{cot x + 6 [-10, 10, -5, 5]}