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

1 Answer
Jim G.
Dec 18, 2017

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

Explanation:

#"the equation of the sine in standard form is"#

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

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

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

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

#"amplitude "=1,"period "=(2pi)/1=2pi#

#"phase shift "=-(pi/4)/1=-pi/4#

#"there is no vertical displacement"#

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