What is the amplitude, period, phase shift and vertical displacement of #y=3sin(3x+pi)-1#?

1 Answer
Jim G.
Feb 3, 2018

#3,(2pi)/3,-pi/3,-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" and vertical shift "=d#

#"here "a=3,b=3,c=pi" and "d=-1#

#"amplitude "=|3|=3" period "=(2pi)/3#

#"phase shift "=-pi/3" vertical shift "=-1#

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