Question 813645
y=3cot(1/5x-1)-8
I found that amplitude is 3, period is 10Pi, shift is -5, and midline is -8.
I am not sure about the graph but I have it starting in quadrant 2 and crossing the y axis into quadrant 4. (like an S)
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The period is 5pi.  Remember that the period of tan & cot is pi, not 2pi.
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Shift is +5
The amplitude is infinite.
There is no well defined midline, 
but the line thru the points of inflection is y = -8