How do you find the amplitude, period, and shift for y=cos (x-60)+2y=cos(x60)+2?

1 Answer
May 8, 2017

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

Explanation:

"the standard form of the "color(blue)"cosine function"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 "=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^@