What are the important points to graph #y=sin(x-pi/4) #?

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Answer 1 · 2018-06-07T06:56:33

As detailed below

Sinusoidal function #y = A sin (Bx - C) + D#

Given #y = sin (x - pi/4)#

#A = 1, B = 1, C = pi/4, D = 0#

#Amplitude = |A| = 1#

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

#"Phase Shift " = -C / B = pi/4#, #color(red)(pi/4 " to the Right"#

#"Vertical Shift " = D = 0#

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