What is the phase shift, vertical displacement with respect to #y=sinx# for the graph #y=2sin(x+50^circ)-10#?

1 Answer
Jim G.
Jul 19, 2017

#"phase shift "=-50^@#
#"vertical shift "=-10#

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)|)))#

#"amplitude "=|a|," period "=360^@/b#

#"phase shift "=-c/b," vertical shift "=d#

#"here " a=2,b=1,c=50^@,d=-10#

#rArr"phase shift "=-50^@," vertical shift "=-10#

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