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

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

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

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

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

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

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

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

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

 Example 1: Use transformations to graph the following function:

 Example 1: Use transformations to graph the following function:

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

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

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

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

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

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

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

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

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

 Example 2: Use transformations to graph the following function:

 Example 2: Use transformations to graph the following function:

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