Question

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

Answer 1

As below.

Explanation:

`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]}