How do you find the amplitude, period, and shift for #y=cos (x-60)+2#?

1 Answer
Jim G.
May 8, 2017

#1,360^@,+60^@#

Explanation:

#"the standard form of the "color(blue)"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 "=360^@/b#

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

#"here " a=1,b=1,c=-60^@,d=2#

#rArr"amplitude "=|1|=1," period "=360^@#

#"phase shift "=-(-60^@)=+60^@#

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