# What is the amplitude, period, phase shift and vertical displacement of y=sinx+1?

Aug 11, 2017

$1 , 2 \pi , 0 , 1$

#### Explanation:

$\text{the standard form of the sine function is}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = a \sin \left(b x + c\right) + d} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{where amplitude "=|a|," period } = \frac{2 \pi}{b}$

$\text{phase shift "=-c/b," vertical shift } = d$

$\text{here } a = 1 , b = 1 , c = 0 , d = 1$

$\Rightarrow \text{amplitude "=|1|=1," period } = \frac{2 \pi}{1} = 2 \pi$

$\text{there is no phase shift and vertical displacement } = + 1$