How do you graph #y=5csc3(x-pi)-5#?

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Answer 1 · 2018-06-24T03:13:30

As below.

#y = 5 csc (3x - 3pi) - 5#

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

#A = 5, B = 3, C = 3 pi, D = -5#

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

#"Period " = (2pi) / |B| = (2pi) / 3 #

#"Phase Shift " = -C / B = (3pi) / 3 = pi, " " pi " to the RIGHT"#

#"Vertical Shift " = D = -5#

graph{5 csc(3x - 3 pi) - 5 [-10, 10, -5, 5]}