8
lesson pretestMultiple Choice

Pretest

Question 8 • Mathematics III

How is the graph of y is equal to cosecant of open paren x minus 6 close paren transformed from its parent function?

Answer
A
It is the graph of y is equal to cosecant of x shifted 6 units up.
B
It is the graph of y is equal to cosecant of x shifted 6 units right.
C
It is the graph of y is equal to cosecant of x shifted 6 units left.
D
It is the graph of y is equal to cosecant of x shifted 6 units down.

Explanation

In y = csc(x − 6), the subtraction is inside the input, so it shifts the parent graph horizontally. A function written as f(x − h) shifts h units to the right. Therefore, the graph is shifted 6 units right.

AI-written and checked against the verified answer.

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