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Published byHomer Mitchell Modified over 4 years ago

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Using Transformations to Graph the Sine and Cosine Curves The following examples will demonstrate a quick method for graphing transformations of

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Example 1: Use transformations to graph the following function: Basic Function:

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Example 1: Use transformations to graph the following function: Center Line:

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Example 1: Use transformations to graph the following function: Reflection in x-axis?

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Example 1: Use transformations to graph the following function: Amplitude: Four units above and below the center line:

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Example 1: Use transformations to graph the following function: Beginning and ending points of one period:

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Example 1: Use transformations to graph the following function: Beginning and ending points of one period: Length of one period Beginning point (phase shift)

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Example 1: Use transformations to graph the following function: Beginning and ending points of one period: End point Beginning point (phase shift)

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Example 1: Use transformations to graph the following function: Begin point End point

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Example 1: Use transformations to graph the following function:

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Example 1: Use transformations to graph the following function:

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Example 1: Use transformations to graph the following function: Draw the curve through the points.

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Example 2: Use transformations to graph the following function: Basic Function:

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Example 2: Use transformations to graph the following function: Center Line:

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Example 2: Use transformations to graph the following function: Reflection in x-axis?

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Example 2: Use transformations to graph the following function: Amplitude: Three units above and below the center line:

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Example 2: Use transformations to graph the following function: Beginning and ending points of one period:

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Example 2: Use transformations to graph the following function: Beginning and ending points of one period: Length of one period Beginning point (phase shift)

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Example 2: Use transformations to graph the following function: Beginning and ending points of one period: End point Beginning point (phase shift)

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Example 2: Use transformations to graph the following function: Begin point End point

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Example 2: Use transformations to graph the following function:

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Example 2: Use transformations to graph the following function:

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Example 2: Use transformations to graph the following function: Draw the curve through the points.

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