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.