Subjects trigonometry

Amplitude Determination 7097Af

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1. The problem asks to determine the amplitude of a sinusoidal graph. 2. The amplitude of a sinusoidal function is the distance from the midline (center) to a peak or trough. 3. Given the graph is centered at $y=2$, with peaks at $y=5$ and troughs at $y=-1$. 4. Calculate the amplitude as the absolute difference between the center and a peak: $$\text{Amplitude} = |5 - 2| = 3$$ 5. Alternatively, check the difference between the center and trough: $$|2 - (-1)| = 3$$ 6. Both confirm the amplitude is 3. 7. Therefore, the amplitude of the sinusoidal wave is **3**.