r 2 4 sin e SolutionUse the form asinbxcd to find the variab

Solution

Use the form asin(bxc)+d

to find the variables used to find the amplitude, period, phase shift, and vertical shift.

a=4

b=1

c=0

d=2

Find the amplitude (|a|

).

Amplitude: 4

Find the period using the formula 2|b|

.

Period: 2

Find the phase shift using the formula cb

.

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Phase Shift: 0

Find the vertical shift (d

).

Vertical Shift: 2

List the properties of the trigonometric function.

Amplitude: 4

Period: 2

Phase Shift: 0

(0

to the right)

Vertical Shift: 2

Select a few points to graph.

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x /f(x) 0 /2 /22/2 3/2 6 22

The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.

Amplitude: 4

Period: 2

Phase Shift: 0

(0

to the right)

Vertical Shift: 2