How do you find the amplitude and period for #y=1/2cosx-3#?
1 Answer
Jul 24, 2017
Explanation:
#"the standard form of the "color(blue)"cosine function"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(y=acos(bx+c)+d)color(white)(2/2)|)))#
#"where amplitude "=|a|," period "=(2pi)/b#
#"phase shift "=-c/b," vertical shift "=d#
#"here "a=1/2,b=1,c=0,d=-3#
#rArr"amplitude "=|1/2|=1/2," period "=2pi#
