Final answer:
A repeating root on a cubic graph appears as a point where the graph touches the x-axis and reverses direction, indicating a multiple occurrence of this solution in the equation.
Step-by-step explanation:
On a cubic graph, a repeating root is represented by a point where the graph touches the x-axis and turns back in the opposite direction without actually crossing the axis. This behavior indicates that a particular x-value is a solution to the cubic equation more than once, known as a repeated or double root. The graph of the cubic function will appear to flatten or have an inflection point at the repeating root and will not change sign around this root, unlike a simple root where the graph crosses the x-axis and the function changes from positive to negative (or vice versa).