What are the important points to graph #f(x)=sin(x-pi/6)#?

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Answer 1 · 2018-08-04T11:56:04

As below.

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

#f(x) = sin(x - pi/6)#

#A = 1, B = 1, C = pi/6, D = 0#

#Amplitude = |A| = 1#

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

Phase Shift # = (-C) / B = -(pi/6) / 1 = -pi/6#, #color(red)(pi/6# to the LEFT

Vertical Shift # = D = 0#

graph{sin (x - pi/6) [-10, 10, -5, 5]}