Question

Determine the amplitude of the following graph.

Answer 1

1

Explanation:

The amplitude is 1.

This graph does not go through the origin, but has been translated up by 1 unit. If you draw a horizontal line through y = 1 you will see that the maximum distance the curve reaches above y = 1 is 1, which is the amplitude.

Answer 2

The amplitude of the graph would be 2.5.

The amplitude of a graph represents the maximum displacement from the equilibrium position. In other words, it measures the maximum distance the graph moves away from the midpoint or zero line.

To determine the amplitude of a graph, you need to locate the highest and lowest points on the graph. The amplitude is equal to half the distance between these two points.

For example, let's consider a graph of a simple harmonic motion, such as a sine wave. If the highest point on the graph is at a value of +3 and the lowest point is at a value of -2, the amplitude would be:

Amplitude = (highest point - lowest point) / 2
Amplitude = (3 - (-2)) / 2
Amplitude = (3 + 2) / 2
Amplitude = 5 / 2
Amplitude = 2.5