11
QuizMultiple Choice

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

Question 11 • Advanced Algebra: Concepts and Connections

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

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

Explanation

Adding π/2 inside the input shifts the cosine graph horizontally in the opposite direction: y = cos(x + π/2) is y = cos(x) shifted π/2 units to the left. Therefore, the correct choice is “π/2 units to the left.”

AI-written and checked against the verified answer.

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