Question

How do you find the amplitude, period, and shift for `y = 3 sin(3x- π)`?

Answer 1

`3,(2pi)/3,pi/3`

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)|)))`

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

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

`"here "a=3,b=3,c=-pi,d=0`

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

`"phase shift "=-(-pi)/3=pi/3`