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Which of the following is the graph of f(x)= 3 sin 2(x)?​

User Kasperasky
by
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1 Answer

2 votes

Answer:

Explanation:

Use the form a sin ( bx- c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift.

a = 3

b = 2

c = 0

d = 0

Find the amplitude | a |

Amplitude: 3

Find the period using the formula 2π ÷ IbI

Period: π

Find the phase shift using the formula
(c)/(b)

Phase Shift: 0

Find the vertical shift : d

Vertical Shift: 0

List the properties of the trigonometric function.

Amplitude: 3

Period: π

Phase Shift: 0 ( 0 to the right)

Vertical Shift: 0

Select a few points to graph.

x f ( x )

0 0

π ÷ 4 3

π ÷ 2 0

3 π ÷ 4 -3

π 0

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

Amplitude: 3

Period: π

Phase Shift: 0 ( 0 to the right)

Vertical Shift: 0

x f ( x )

0 0

π ÷ 4 3

π ÷ 2 0

3 π ÷ 4 -3

π 0

User Kris Gjika
by
7.6k points