18
QuizMultiple Choice

Graphing Tangent and Cotangent

Question 18 • AZ-Common Core Algebra II B

How is the graph of y = csc(x – 6) transformed from its parent function?

Answer
A
It is the graph of y = csc(x) shifted 6 units up.
B
It is the graph of y = csc(x) shifted 6 units right.
C
It is the graph of y = csc(x) shifted 6 units left.
D
It is the graph of y = csc(x) shifted 6 units down.

Explanation

In y = csc(x − 6), the input x is replaced by x − 6. A subtraction inside the function shifts its graph to the right by 6 units, without changing its vertical position. So the correct choice is B, shifted 6 units right.

AI-written and checked against the verified answer.

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