How do you graph y= -cot(3x - pi/4)?

1 Answer
Jun 24, 2018

As below.

Explanation:

y = - cot (3x - pi/4)

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

A = -1, B = 3, C = pi/4, D = 0

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

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

"Phase Shift " = -C / B = (-pi/4) / 3 = -pi/12, " " pi/12 " to the LEFT"

"Vertical Shift " = D =0

graph{- cot(3x - pi/4) [-10, 10, -5, 5]}