Post on 12-Jan-2016
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.