Final answer:
Hyperpolarization occurs when the membrane potential becomes more negative than the resting potential due to ongoing K+ ion movement. It does not affect the potassium equilibrium potential, which is determined by the ionic concentration gradient.
Step-by-step explanation:
Hyperpolarization occurs during the process of repolarization when potassium ions (K+) move out of the cell, causing the internal cellular environment to become more negative than the resting membrane potential. This is due to the slightly delayed closing of the K+ channels, leading to a continued loss of positively charged K+ ions beyond the point necessary to reach the resting potential of approximately -70 mV. It's important to note that hyperpolarization itself does not change the potassium equilibrium potential, which is defined by the Nernst equation and is dependent on the concentration gradient of K+ across the cell membrane. Therefore, hyperpolarization has no impact on the potassium equilibrium potential, making option 'c' the correct response.