How do you graph and list the amplitude, period, phase shift for #y=sin2x+3#?

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Answer 1 · 2018-05-06T13:34:21

As below.

#y = A sin (Bx - C) + D " for a sine function"#

#"Given : " y = sin 2x + 3#

#Amplitude = |A| = 1#

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

#"Phase Shift " = -C / B = 0#

#"Vertical Shift " = D = 3#

graph{sin(2x )+ 3 [-10, 10, -5, 5]}