1. The problem asks whether the amplitude of a trigonometric graph can be negative. 2. The amplitude of a trigonometric function like $y = A \sin(x)$ or $y = A \cos(x)$ is defined as the absolute value of the coefficient $A$ in front of the sine or cosine function. 3. The formula for amplitude is: $$\text{Amplitude} = |A|$$ 4. This means amplitude is always a non-negative number because it measures the maximum distance from the midline (usually the x-axis) to the peak or trough of the wave. 5. Even if $A$ is negative, the amplitude is the absolute value, so it cannot be negative. 6. Therefore, the amplitude of a trigonometric graph cannot be negative; it is always zero or positive. Final answer: No, the amplitude of a trigonometric graph cannot be negative because it is defined as the absolute value of the coefficient.