6.4 Notes Graphing trigonometric functions transformationally: changes to coefficient A.

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Presentation transcript:

6.4 Notes Graphing trigonometric functions transformationally: changes to coefficient A

Amplitude Transformations To make a change to the amplitude of the graph of a trigonometric function, modify the coefficient, A, of the trigonometric equation.

Amplitude Transformations  If the coefficient of the trigonometric function is positive one, then the graph is the parent graph.  y = sin x:

Amplitude Transformations  A coefficient with an absolute value greater than 1 increases the amplitude. The graph is taller than the parent graph.  A coefficient with an absolute value less than 1 decreases the amplitude. The graph is shorter than the parent graph.  aves/introduction/introductionWaves.html aves/introduction/introductionWaves.html

Amplitude Transformations  If the coefficient is negative, then the parent graph is reflected across the x-axis.  For example,

Amplitude Transformations For the following example problems and for the homework, the directions are to graph the pair of functions on the same graph using conventional graphing techniques.

Amplitude Transformations Example 1:

Amplitude Transformations Example 2:

Amplitude Transformations Example 3: