8
QuizMultiple Choice

Changes in Period and Phase Shift of Sine and Cosine Functions — Quiz

Question 8 • Advanced Algebra: Concepts and Connections

The graph of y is equal to sine of open paren x minus 3 pi over 2 close paren is the graph of the y is equal to sine of x shifted in which direction?

Answer
A
3 pi over 2 units down
B
3 pi over 2 units to the left
C
3 pi over 2 units to the right
D
3 pi over 2 units up

Explanation

In the form y = sin(x - h), the graph of y = sin x shifts h units to the right. Here h = 3π/2, so the graph shifts 3π/2 units to the right.

AI-written and checked against the verified answer.

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