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432165-14-13-12 -11 -10 -9-8 7 --5-4 3 -24 628 9 10 1 12-2-3The curve above is the graph of a sinusoidal function. It goes through the points(12, 3) and (2, 3). Find a sinusoidal function that matches the given graph.If needed, you can enter -3.1416... as 'pi' in your answer, otherwise use at least 3decimal digits.

Question
4
3
2
165-14-13-12 -11 -10 -9-8 7 --5-4 3 -2
4 6
2
8 9 10 1 12
-2
-3
The curve above is the graph of a sinusoidal function. It goes through the points
(12, 3) and (2, 3). Find a sinusoidal function that matches the given graph.
If needed, you can enter -3.1416... as 'pi' in your answer, otherwise use at least 3
decimal digits.
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4 3 2 165-14-13-12 -11 -10 -9-8 7 --5-4 3 -2 4 6 2 8 9 10 1 12 -2 -3 The curve above is the graph of a sinusoidal function. It goes through the points (12, 3) and (2, 3). Find a sinusoidal function that matches the given graph. If needed, you can enter -3.1416... as 'pi' in your answer, otherwise use at least 3 decimal digits.

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Step 1

To find the sinusoidal function that represent the given graph which passes through two given points (-12, -3) and (2, -3) as shown:

2
16-5-14-13-12-11-10-876 542
8 9 10 11 12
-2
-3
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2 16-5-14-13-12-11-10-876 542 8 9 10 11 12 -2 -3

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Step 2

The general equation of sinusoidal wave is given by

y Asin(Bxt+C)+ D
Where, A is the amplitude
B is the angular velocity (B-2/T)
C is the phase shift and
D is the shift in amplitude
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y Asin(Bxt+C)+ D Where, A is the amplitude B is the angular velocity (B-2/T) C is the phase shift and D is the shift in amplitude

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Step 3

It can be clearly be seen that here the D which is the distance that graph has been moved up or down on the Y-axis is zero.
As it can be clearly be seen that the amplitude is equals to ...

16 15-14-13-12-1l-10-8-7-6 4
7 89
10 11 12
(-12,-3)
(2.-3)
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16 15-14-13-12-1l-10-8-7-6 4 7 89 10 11 12 (-12,-3) (2.-3)

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Tagged in

Math

Trigonometry

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