A hydrograph is a graphical representation that plots the discharge (flow rate) of a river or stream over time. It essentially shows how a river's flow changes in response to various factors, primarily precipitation events within its drainage basin.
The shape and characteristics of a hydrograph provide vital information about the relationship between rainfall and the resulting streamflow (runoff).
While related to rainfall, the hydrograph specifically measures the output (runoff) rather than the input (rainfall rate, frequency, or intensity) directly. Therefore, it is most useful for estimating the characteristics of the runoff itself.
Based on this, a hydrograph is primarily useful for estimating runoff rate and runoff volume.