Each graph shows 3 (or 3½) days of history, followed by the latest forecast, which extends 3 (or 2½) days into the future.
The dotted part of a curve was a postdiction even when it was issued.
The height (not the area) of the moon marker indicates the brightness, which is a very nonlinear function of phase.

Data source: https://www.swpc.noaa.gov/communities/aurora-dashboard-experimental
The 30-minute forecast provides a great deal of detail, namely
predicted intensity as a function of latitude, longitude, and time,
provided you click the play button:
https://www.swpc.noaa.gov/products/aurora-30-minute-forecast

The following are historical plots, one every 4 days.