What are the important information needed to graph #y=2cot(3x-pi/2)#?

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Answer 1 · 2018-06-24T03:18:02

As below.

#y = 2 cot (3x - pi/2) #

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

#A = 2, B = 3, C = pi/2, D = 0#

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

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

#"Phase Shift " = -C / B = (-pi/2) / 3 = -pi/6, " " pi/6 " to the LEFT"#

#"Vertical Shift " = D =0#

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