What is the phase shift, vertical displacement with respect to #y=sinx# for the graph #y=sin(x-50^circ)+3#?
1 Answer
Jan 11, 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 " =360^@/b#
#"phase shift " =-c/b" and vertical displacement " =d#
#" here " a =1,b=1,c=-50^@" and " d=+3#
#rArr"phase shift " =-(-50^@)/1=+50^@rarr" shift right"#
#"and vertical displacement " =+3uarr#