How do you graph #y=2-sin (x/4)#?

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Answer 1 · 2018-06-07T07:00:31

As detailed.

#y = 2 - sin (x/4)#

Standard form is #y = A sin (Bx - C) + D#

#A = -1, B = 1/4, C = 0, D = 2#

#Amplitude = |A| = 1#

#"Period " = (2pi) / |B| = (2pi) / 4 = pi/2#

#"Phase Shift " = -C / B = 0#

#"Vertical Shift " = D = 2#

graph{2 - sin (x/4) [-10, 10, -5, 5]}