1. 6.4.2 – Graphing Transformed Trig Functions

2. Based on the previous 2 days, you should now be familiar with: – Sin, Cos, Tan graphs – 3 different shifts: Period, Amplitude, Phase Shift Using the information, we can now create graphs of transformed trig functions

3. Graphing Transformed Functions In order to graph transformed functions, we will NOT be using tables Instead, use the basic shape of the graph, and apply the following changes: – 1) Period – 2) Adjusted amplitude – 3) Phase shift – 4) Vertical shift

4. In all cases, the basics of the graph should not change Just use the parent function to help sketch the shape; label points for amplitude/phase shifts

5. Example. Sketch the graph for the function f(x) = 2sin(x – π/2) – Period? – Amplitude? – Phase shift?

6. Example. Sketch the graph for the function f(x) = 5cos(2x + 6π)

7. Example. Sketch the graph of: f(x) = 5tan(x – π) + 2 – Vertical shift now comes into play

8. As part of your take home assessment, you will be asked to create graphs of functions you may design/apply changes too The catch? You may draw them, use items to build them, use anything at your disposal to create the graphs of the functions

9. Assignment Due: Tuesday, February 19 th No presentation; just a pass around with other students No late turn in. Period.