How do you graph #y=2csc2(x+pi)#?

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Answer 1 · 2018-06-24T02:55:20

As below.

#y = 2 csc (2x + 2 pi)#

Standard form of cosecant function is #y = A csc(Bx - C) + D#

#A = 2, B = 2, C = -2 pi, D = 0#

#Amplitude = |A| = "NONE for cosecant function"#

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

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

#"Vertical Shift " = D = 0#

graph{2 csc(2x + 2 pi) [-10, 10, -5, 5]}