# How do you graph and list the amplitude, period, phase shift for y=2sin3x?

Oct 15, 2017

Amplitude $a \ast = 2 \ast$, Period $\ast = \frac{2 \pi}{b} = \frac{2 \pi}{3} \ast$
Phase shift $\ast = - \frac{c}{b} = 0 \ast$

#### Explanation:

$y = 2 \sin 3 x$
Standard form of equation is $y = a \left(\sin b x + c\right) + d$

In the given sum,
$a = 2 , b = 3 , c = 0 , d = 0$
Where
Amplitude $a = 2$, Period $= \frac{2 \pi}{b} = \frac{2 \pi}{3}$
Phase shift $= - \frac{c}{b} = 0$,