Question

How do you find the amplitude, period, vertical and phase shift and graph `y=cot(theta-30)`?

Answer 1

amplitude: 1
period: `2pi`
vertical phase shift: 0
horizontal phase shift: right 30 degrees or `pi/6` in radians

Explanation:

cot is not being multiplied by anything therefore amplitude is 1.
period of tangent and cotangent with no stretch is always `2pi`.
nothing is being added outside of the inner function so there is no vertical shift, but there is subtraction inside the inner function shifting it to the right 30 degrees.