How do you graph # y=5+sin(x+20)#?

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Answer 1 · 2018-06-19T07:01:07

As below.

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

#y = sin (x + 20) + 5#

#Amplitude = |A| = 1#

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

#"Phase Shift " = -C / B = -20 / 1 = -20, color(crimson)(20 " to the left"#

#"Vertical Shift " = D = 5#

graph{sin (x + 20) + 5 [-10, 10, -5, 5]}