Question

A wave with low energy will also have

Answer 1

I am guessing low amplitude since for travelling wave, energy is usually associated with amplitude.

Answer 2

its mean low frequency. and i think long wavelength.

Answer 3

I would think both responses above are correct for different types of waves in physics. Sound and light. But I can't be sure. And that's in the common mathematical representations used in physics, I think...

What kind of wave is this?

I found this link for sound:
http://www.fi.edu/fellows/fellow2/apr99/soundvib.html

I think @Festinger 's response applies to sound, and @deathgrowl 's response applies to light (electromagnetic waves).

For sound waves, I think amplitude is related to the pressure differences in the medium, or density, or something like that. I'm not sure if frequency would play a role or not.

For electromagnetic or maybe matter waves, I think that the wave's amplitude is related to the probability of a particle to be at a certain location or... something with the time interval that would indicate momentum (for matter waves).
For electromagnetic waves, \(E=h\ f\). I'm not sure about relationship between energy and frequency for matter waves, but I remember that great mass is great energy and has a high frequency wave associated with it (of probability, maybe), so frequency is still directly proportional to energy of the wave.