y= 3 cos(x)+2 I need help solving this

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

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