What is the amplitude, period, phase shift and vertical displacement of #y=sinx+1#?

1 Answer
Jim G.
Aug 11, 2017

#1,2pi,0,1#

Explanation:

#"the standard form of the 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," vertical shift "=d#

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

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

#"there is no phase shift and vertical displacement "=+1#

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