8
QuizMultiple Choice

Graphing Sine and Cosine Functions — Quiz

Question 8 • Precalculus

Consider the function y is equal to A cosine b x , where A is greater than 0 and b is greater than 0 Which change affects the locations of the x -intercepts of the graph?

Answer
A
Decrease b .
B
Change the sign of b .
C
Change the sign of A .
D
Decrease A .

Explanation

The x-intercepts occur when cos(bx) = 0, so x = (π/2 + kπ)/b for integers k. Decreasing b changes these x-values, while changing the sign of b leaves the zeros unchanged because cosine is even; changing or decreasing A does not affect where y equals zero.

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