Final answer:
The correct location on the wave that has the lowest amplitude is a trough. However, the trough is typically the point of maximum displacement from the equilibrium position, similar to the crest, making the amplitude positive and equal in magnitude at both points.
Step-by-step explanation:
The correct location on the wave that has the lowest amplitude is the trough. A trough is the lowest point a particle in the medium sinks to and is the point where the wave has the minimum displacement from the equilibrium position. The amplitude of a wave is measured from the equilibrium (center line) to the top of the crest or to the bottom of the trough, which means that the amplitude at the crest and the trough is the same.
However, since the question asks for the location with the lowest amplitude, this is a terminology misunderstanding because the amplitude is typically a positive value representing the maximum displacement. If we consider the amplitude as the 'height' from the equilibrium line, then both the crest and the trough have the maximum displacement, not the lowest.
Therefore, none of the provided options (Crest, Trough, Wavelength, Frequency) are locations with a 'low' amplitude as amplitude is defined by the maximum displacement from rest (equilibrium). For a wave with symmetrical displacement, the amplitude is the same at the crest and the trough.