How do you find the amplitude, period, vertical and phase shift and graph #y=2cot(3theta+135)-6#?

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Answer 1 · 2018-03-01T09:28:04

Amplitude #= a = 2#

Period # = pi / |b| = pi / 3#

Phase shift #= c / b = -135 / 3 = -45#

Vertical shift # = d = -6#

Use the form #y = a + cot (bx - c) + d#

To find amplitude, period and phase shift.

graph{2 cot(3x+135) -6 [-10, 10, -5, 5]}

Amplitude #= a = 2#

Period # = pi / |b| = pi / 3#

Phase shift #= c / b = -135 / 3 = -45# to the left

Vertical shift # = d = -6#