Trigonometry Transformations of Trigonometric Graphs Transformations of the Cosine Graph
Amplitude Concepts 1

|  |  | Definition |  |
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If f(x) = A· cos(bx + c) and A, b, and c are real numbers with b is not equal 0, then the number |A| is called the amplitude of f.

|  |  | Statement |  |
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If f(x) = A· cos(bx + c) and A, b, and c are real numbers with b is not equal 0, then the affect of the factor A is to vertically stretch (|A|>1) or compress (|A|<1) the graph of the function f(x) = cos(bx + c). Also, if A < 0, the basic cosine curve is reflected in the x-axis.

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