How do you determine the amplitude, period and vertical translation of #y=3sin4x-5#?

1 Answer
May 31, 2018

#3,pi/2,-5#

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=4,c=0,d=-5#

#"amplitude "=|3|=3," period "=(2pi)/4=pi/2#

#"vertical shift "=-5#