Graph f(x)= -3cos(2x+pie) - 3. Find the amplitude, period, phase shift, and vertical shift of the function.

1 Answer

aruv's profile pic

aruv | High School Teacher | (Level 2) Valedictorian

Posted on

We have `f(x)=-3cos(2x+pi)-3` .

Compare f(x) with `g(x)=|a|cos(bx+c)+d.`

Thus

Amplitude= `|a|=|-3|=3`

Period=`(2pi)/b=(2pi)/2=pi`

Phase shift=`(-c)/b=(-pi)/2`

Vertical shift= d=-3