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Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and sketch one full cycle.
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Vetical & Horizontal Shifts
(i.e. f(x+c) & f(x)+d)
So what type of transformation should be we expect?
midline
vertical shift
horizontal shift
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Graph one cycle of the following:
HINT: Start with y=3sin2x
Graph one cycle of the following:
HINT: Start with y=2sin½x
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Write the equation of the graph shown below:
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http://www.regentsprep.org/Regents/math/algtrig/ATT7/graphpractice3.htm
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How do variations in a, b, period, and shifts effect the appearance of a
graph?How can we relate transformations to
variations in trig graphs?What real-life functions can be
modeled by trig graphs?
Homework: worksheet
Summary of graphing & :
> Amplitude => Frequency =
> Period =
> Horizontal Shift => Vertical Shift =
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