Which of the following is the graph of f(x)= 3 sin 2(x)?
1 answer:
Answer:
Step-by-step 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
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
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