How do you graph y=2cot4x?

1 Answer
Oct 7, 2017

Explanation:

1. Find the period, phase shift, & vertical shift

Using acot(bx+c)+d,
where:

  • a=2
  • b=4
  • c=0
  • d=0

Period =πb=π4... One cycle completes at π4

Phase shift =cb=04=0...Phew! that means no problem

Vertical shift =d=0... Again no problem!

2. Now graph

At π8, (half of the period), y=0
enter image source here

At π16, (half of the π8), y=a=2

At 3π16, (batween π8 and the period), y=a=2
enter image source here

Three points are (π16,2),(π8,0),(3π16,2)

Therefore, y=2cot4x
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