Question

Which is an asymptofe of the graph the function y=cot(x-2π/3)

Answer 1

Hello.

C) x=4π/3

The variable x in the cotangent argument has a unit coefficient, so the period is π, just as it is in the parent function cot(x).

Can you graph y = cot(x)? By subtracting the constant π/6 from the argument, that graph is translated to the right by π/6. Just as with cot(x), it is decreasing everywhere.

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