Final answer:
Large populations that stabilize at carrying capacity are described by logistic growth, which is represented by an S-shaped curve.
Step-by-step explanation:
The type of graph that describes large populations stabilizing at carrying capacity is the logistical growth graph.
This pattern of growth is depicted as an S-shaped curve, which initially may resemble exponential growth, but as the population increases and resources become limited, the growth rate starts decreasing and eventually levels off at the environment's carrying capacity.
This is in contrast to exponential growth, which is characterized by a J-shaped curve and occurs when resources are unlimited, leading to an accelerating population growth rate.