How do you determine the amplitude, period, and shifts to graph #y=-sinx+2#?
1 Answer
Jun 3, 2016
Explanation:
The standard form of the
#color(blue)"sine wave function"# is
#color(red)(|bar(ul(color(white)(a/a)color(black)(y=asin(bx+c)+d)color(white)(a/a)|)))# where amplitude = |a| , period
#=(2pi)/b# c is the horizontal shift and d , the vertical shift
here a = -1 , b = 1 , c = 0 and d = 2
hence amplitude = |-1| = 1 , period
#=(2pi)/1=2pi# there is no horizontal shift and vertical shift of
#((0),(2))#