How do you identify the amplitude, period and phase shift given the function #y=3sin(2x-pi/2)#?

1 Answer
Apr 21, 2018

#3,pi,pi/4#

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=2,c=-pi/2" and "d=0#

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

#"phase shift "=-(-pi/2)/2=pi/4#