y=cot(3x)y=cot(3x)
Find the asymptotes.
 
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No Horizontal Asymptotes
No Oblique Asymptotes
Vertical Asymptotes: x=πn3x=πn3 where nn is an integer
 
Use the form acot(bx−c)+dacot(bx-c)+d to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a=1a=1
b=3b=3
c=0c=0
d=0d=0
 
Since the graph of the function cotcot does not have a maximum or minimum value, there can be no value for the amplitude.
Amplitude: None
 
Find the period of cot(3x)cot(3x).
 
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π3π3
 
Find the phase shift using the formula cbcb.
 
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Phase Shift: 00
 
Find the vertical shift dd.
Vertical Shift: 00
 
List the properties of the trigonometric function.
Amplitude: None
Period: π3π3
Phase Shift: 00 (00 to the right)
Vertical Shift: 00
 
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Vertical Asymptotes: x=πn3x=πn3 where nn is an integer
Amplitude: None
Period: π3π3
Phase Shift: 00 (00 to the right)
Vertical Shift: 00