6.4.2 – Graphing Transformed Trig Functions

• 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

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

• 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

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

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

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

• 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

• Assignment• Due: Tuesday, February 19th

• No presentation; just a pass around with other students

• No late turn in. Period.