What is the amplitude, period, phase shift and vertical displacement of #y=sin(x-pi/4)#?
1 Answer
Jul 26, 2017
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"#
