9
QuizMultiple Choice

Graphing Sine and Cosine Functions

Question 9 • Common Core Precalculus - MA3112 Quarter 1

Consider the function y = asin(bx), where a > 0 and b > 0. Which change compresses the graph vertically?

Answer
A
Increase a.
B
Decrease a.
C
Increase b.
D
Decrease b.

Explanation

The coefficient a sets the amplitude of y = a sin(bx), so it controls the graph’s vertical stretch or compression. Decreasing a makes the amplitude smaller and compresses the graph vertically; increasing b changes the graph horizontally instead.

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