Final answer:
The graph of logistic population growth is shaped like an 'S', known as the S-curve, signifying the initial rapid growth followed by a decrease as resources become limited, and eventually reaching stability at carrying capacity.
Step-by-step explanation:
The graph of logistic population growth is shaped like the letter 'S'. This S-curve reflects the initial exponential growth of a population when resources are ample, followed by a slowing growth rate as resources become scarce, and finally leveling off when the population size reaches the environment's carrying capacity. The overall S-shape is consistent across all populations experiencing logistic growth, and the time frames illustrated on this curve can vary for different populations.