Question

How do you determine the amplitude, period, and shifts to graph `y=2cosx`?

Answer 1

`"see explanation"`

Explanation:

`"the standard form of the cosine function is"`

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

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

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

`"here " a=2,b=1,c=d=0`

`rArr"amplitude "=|2|=2," period "=2pi`

`"there are no shifts"`
graph{2cosx [-10, 10, -5, 5]}