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

1 Answer
Jul 12, 2017

#"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]}