1. Ch.14.4_GraphManipulations.notebook March 07, 2012
Chapter 14.4
Sine Graphs & Periodic Functions
Periodic Function
Any function that has a repeating cycle
The length of each cycle is called the period
What is the length of the period of y = sin(x)?
Notice the first cycle starts at 0, but where does it end?
The amplitude is one half the difference between
the maximum and minimum value
(the "height" of the top half)
What is the amplitude of y = sin(x)?
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2. Ch.14.4_GraphManipulations.notebook March 07, 2012
Altering the sine graph
y = a sin(bx c) + d
Each of these variables will effect the "sine wave"
in some way. Some move the graph, some will
stretch/shrink the graph.
a b c d
3600
The period of y = sin(bx) is
b
Find the period of y = sin(3x)
Find the period of y = sin(.5x)
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3. Ch.14.4_GraphManipulations.notebook March 07, 2012
Describe what the graphs SHOULD look like
(include period, amplitude, position)
y = 3 sin(2x 60) + 1
y = 2 sin(.5x + 30) 2
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