What is the phase shift, vertical displacement with respect to y=sinx for the graph y=sin(x-50^circ)+3?

Jan 11, 2017

$\text{phase shift " =+50^@,"vertical shift} = + 3$

Explanation:

The standard form of the $\textcolor{b l u e}{\text{sine function}}$ is.

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

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

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

$\text{ here " a =1,b=1,c=-50^@" and } d = + 3$

$\Rightarrow \text{phase shift " =-(-50^@)/1=+50^@rarr" shift right}$

$\text{and vertical displacement } = + 3 \uparrow$