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]}

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