Question

what is amplitude of the graph? 3 4 1 -3

Explanation:

Step1: Recall Amplitude Definition

Amplitude is the maximum distance from the midline (equilibrium) to a peak (or trough) of a periodic graph. It's a non - negative value.

Step2: Analyze the Graph (from Key Points)

Looking at the graph, the peak is at \(y = 3\) and the trough is at \(y=- 3\). The midline is \(y = 0\) (the x - axis). The distance from the midline (\(y = 0\)) to the peak (\(y = 3\)) is \(|3-0|=3\). Also, amplitude is always positive, so we can rule out \(-3\). The values \(1\) and \(4\) do not match the distance from the midline to the peak/trough.

Answer:

3 (corresponding to the option with value 3)