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The graph below represents the wave y = A + B sin wx in the range 0° <= x <= 360°. Determine the values of the constants A, B and w.

June 4, 2026Mathematics

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a) Determine the values of the constants A, B and w for the wave $y = A + B \sin(wx)$ .

Determine the vertical shift (A).
The maximum value of the graph is $y_{max} = 3$ .
The minimum value of the graph is $y_{min} = -1$ .
The vertical shift (midline) A is the average of the maximum and minimum values:
$A = \frac{y_{max} + y_{min}}{2} = \frac{3 + (-1)}{2} = \frac{2}{2} = 1$
Determine the amplitude (B).
The amplitude

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