How do you find the amplitude, period, phase shift for #y=2cosx#?

1 Answer
Jim G.
Jan 4, 2018

#2,2pi,0#

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" and vertical shift "=d#

#"here "a=2,b=1" and "c=d=0#

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

#"there is no phase shift"#

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