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

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Answer 1 · 2018-07-25T11:51:43

As below.

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

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

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

Amplitude #= |A| = |-1| = 1#

Period #= (2pi)/|B| = (2pi) / (1/4) = 8pi#

Phase Shift #= -C / B = 0#

Vertical Shift #= D = 2#

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