The equation of the sinusoidal model is y = 2 · sin (4 · x) + 3.
What is the equation of the sinusoidal model?
Sinusoidal models are periodic equations that use trigonometric functions and are defined by the following equation:
y = A · sin (2π · x / T) + B (1)
Where:
- A - Amplitude
- T - Period
- B - Midpoint
The amplitude is equal to the half of the difference between maxima and minima:
A = (5 - 1) / 2
A = 4 / 2
A = 2
The midpoint is equal to the average of the minima and maxima:
B = (5 + 1) / 2
B = 6 / 2
B = 3
The period is the "horizontal" distance in which a cycle is completed:
T = 0.5π
Then, the equation of the sinusoidal model is:
y = 2 · sin (2π · x / 0.5π) + 3
y = 2 · sin (4 · x) + 3
To learn more on sinusoidal model: https://brainly.com/question/12060967
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