6
QuizMultiple Choice

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

Question 6 • Advanced Algebra: Concepts and Connections

What is the phase shift of a periodic function ?

Answer
A
a horizontal translation of the function
B
the number of cycles of the function that occur in one horizontal unit
C
the horizontal length of one cycle of the function
D
a vertical translation of the function

Explanation

A phase shift moves a periodic function horizontally along the x-axis. It changes where the cycle begins without changing its shape or vertical position, so the correct choice is “a horizontal translation of the function.”

AI-written and checked against the verified answer.

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