# How do you find the period and amplitude of y=2sin3x?

Aug 27, 2017

$\frac{2 \pi}{3} , 2$

#### Explanation:

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

color(red)(bar(ul(|color(white)(2/2)color(black)(y=asin(bx+c)+d)color(white)(2/2)|))

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

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

$\text{here } a = 2 , b = 3 , c = d = 0$

$\Rightarrow \text{amplitude "=|2|=2," period } = \frac{2 \pi}{3}$