What is the amplitude, period, phase shift and vertical displacement of #y=sin(x-pi/4)#?

1 Answer
Jim G.
Jul 26, 2017

#1,2pi,pi/4,0#

Explanation:

#"the standard form of the "color(blue)"sine function "# is.

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

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

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

#"here "a=1,b=1,c=-pi/4,d=0#

#rArr" amplitude "=1,"period "=2pi#

#"phase shift "=-(-pi/4)=pi/4#

#"there is no vertical shift"#

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