How do you graph #y=2sin(x-pi/2)+3#?

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Answer 1 · 2018-06-26T06:18:52

As below.

#"standrad form of sine function is " y = A sin (Bx - C) + D#

#"Given ' y = 2 sin (x - pi/20 + 3#

#A = 2, B = 1, C = pi/2, D = 3#

#"Amplitude ' = |A| = 2#

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

#"Phase Shift " = -C / B = -(pi/2) / 1 = -pi/2, " " color(crimson)(pi/2 " to the LEFT"#

#"Vertical Shift " = D = 3#

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