What observation regarding the rotation curve of a spiral galaxy provides the most compelling evidence for the existence of dark matter?

Answer

The consistent flatness or slight increase in orbital speeds far from the visible edge.

The observation that orbital speeds remain unexpectedly high or flat far beyond where most stars and gas are located strongly implies the presence of unseen mass providing extra gravitational influence.

What observation regarding the rotation curve of a spiral galaxy provides the most compelling evidence for the existence of dark matter?
measurementgalaxyastronomymethodmass