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]}

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