# What is the phase shift, vertical displacement with respect to y=sinx for the graph y=2sin(x+50^circ)-10?

Jul 19, 2017

$\text{phase shift } = - {50}^{\circ}$
$\text{vertical shift } = - 10$

#### Explanation:

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

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

$\text{amplitude "=|a|," period } = {360}^{\circ} / b$

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

$\text{here } a = 2 , b = 1 , c = {50}^{\circ} , d = - 10$

$\Rightarrow \text{phase shift "=-50^@," vertical shift } = - 10$