Using Transformations to Graph the Sine and Cosine
- Slides: 23
Using Transformations to Graph the Sine and Cosine Curves • The following examples will demonstrate a quick method for graphing transformations of
q. Example 1: Use transformations to graph the following function: • Basic Function:
q. Example 1: Use transformations to graph the following function: • Center Line:
q. Example 1: Use transformations to graph the following function: • Reflection in x-axis?
q. Example 1: Use transformations to graph the following function: • Amplitude: • Four units above and below the center line:
q. Example 1: Use transformations to graph the following function: • Beginning and ending points of one period:
q. Example 1: Use transformations to graph the following function: • Beginning and ending points of one period: Length of one period Beginning point (phase shift)
q. Example 1: Use transformations to graph the following function: • Beginning and ending points of one period: End point Beginning point (phase shift)
q. Example 1: Use transformations to graph the following function: • Begin point • End point
q. Example 1: Use transformations to graph the following function: •
q. Example 1: Use transformations to graph the following function:
q. Example 1: Use transformations to graph the following function: • Draw the curve through the points.
q. Example 2: Use transformations to graph the following function: • Basic Function:
q. Example 2: Use transformations to graph the following function: • Center Line:
q. Example 2: Use transformations to graph the following function: • Reflection in x-axis?
q. Example 2: Use transformations to graph the following function: • Amplitude: • Three units above and below the center line:
q. Example 2: Use transformations to graph the following function: • Beginning and ending points of one period:
q. Example 2: Use transformations to graph the following function: • Beginning and ending points of one period: Length of one period Beginning point (phase shift)
q. Example 2: Use transformations to graph the following function: • Beginning and ending points of one period: Beginning point (phase shift) End point
q. Example 2: Use transformations to graph the following function: • Begin point • End point
q. Example 2: Use transformations to graph the following function: •
q. Example 2: Use transformations to graph the following function:
q. Example 2: Use transformations to graph the following function: • Draw the curve through the points.