Answer:
Use the form acos(bx−c)+dacos(bx-c)+d to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a=3a=3
b=12b=12
c=0c=0
d=0d=0
Find the amplitude |a||a|.
Amplitude: 33
Find the period of 3cos(x2)3cos(x2).
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4π4π
Find the phase shift using the formula cbcb.
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Phase Shift: 00
Find the vertical shift dd.
Vertical Shift: 00
List the properties of the trigonometric function.
Amplitude: 33
Period: 4π4π
Phase Shift: 00 (00 to the right)
Vertical Shift: 00
Select a few points to graph.
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xf(x)03π02π−33π04π3xf(x)03π02π-33π04π3
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude: 33
Period: 4π4π
Phase Shift: 00 (00 to the right)
Vertical Shift: 00
xf(x)03π02π−33π04π3xf(x)03π02π-33π04π3