# How do you find the amplitude, period, phase shift for y=y=1/8sinx?

Jul 28, 2017

$\frac{1}{8} , 2 \pi , 0$

#### Explanation:

$\text{the standard form of the "color(blue)"sine function}$ is.

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

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

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

$\text{here } a = \frac{1}{8} , b = 1 , c = d = 0$

$\Rightarrow \text{amplitude "=|1/8|=1/8," period} = 2 \pi$

$\text{there is no phase/vertical shift}$