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]}

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