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]}

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