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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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