How are a wave's energy and the wave's amplitude related? energy is one-half the amplitude energy is double the amplitude energy is the reciprocal of the amplitude energy is proportional to the square of the amplitude

Energy is proportional to the square of the amplitude

Explanation:
The energy of a certain wave is defined using its magnitude.
The two quantities are related directly. This means that as the amplitude of the wave increases, its energy increases and vice versa.

Energy is directly proportional to the square of the magnitude of the wave. This means that:
If we have new amplitude = 2 * old amplitude
We will have new energy = (2)² * old energy = 4 * old energy

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