The above function is in the form .
,
,
Here .
The relation between period P and B is .
So, in the given equation Amplitude , stretch
.
The period of the function is
Now the phase shift of the function is
Since the period of the sinusoidal function is .
The solutions of the given function are
\So, is one cycle of the function.
Now find key points using interval difference .
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x \ | \
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y \ | \
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-3 \ | \
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0 \ | \
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3 \ | \
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0 \ | \
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-3 \ | \
Graph of one period of the function is
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Similarly find the amplitude, period and phase shift of this function.
\Amplitude ,
,
.
Period
Phase shift .
The solutions of the function are
\So, is one cycle of the function.
Now find key points using interval difference .
\
x \ | \
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| \
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| \
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| \
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| \
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y \ | \
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-4 \ | \
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0 \ | \
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4 \ | \
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0 \ | \
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-4 \ | \
Graph of one period of the function is
\