Final answer:
The energy of a photon is directly proportional to its frequency, as described by the equation E = hf, with energy increasing as frequency increases.
Step-by-step explanation:
The energy of a photon is directly proportional to its frequency, not its amplitude or speed. This relationship is described by the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency. Hence, as the frequency increases, the energy of the photon also increases. It's important to note that while for most waves, the energy is proportional to wave amplitude or the height of the wave, for photons the wavelength and hence frequency are the critical factors determining energy.