Question

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

Answer 1

`(2pi)/3,2`

Explanation:

`"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)|))`

`"where amplitude "=|a|," period "=(2pi)/b`

`"phase shift "=-c/b," vertical shift "=d`

`"here "a=2,b=3,c=d=0`

`rArr"amplitude "=|2|=2," period "=(2pi)/3`