I believe someone may have added something. The diagram Pishta posted should be of help The "4 wire" ballast basically does "this:" Bear in mind that 90% of the ignition boxes you run into DON'T NEED the other half of a 4 wire ballast. The other section supplied power to part of the "old style" boxes. Most all replacment boxes, and "later" production is what is called a "4 wire box" as opposed to "5 wire." You cannot always tell by LOOKING as many "4 wire" boxes have FIVE pins.
ALL ballasts whether 2 or 4 pin wire to the coil as in the diagram above. The 4 pin ballasts just supply power off to the ECU
Anyhow, the blue "ignition run" as noted, comes out of the firewall and feeds and branches off (depending on year/ model/ and accessories)
Ignition system ECU
One end (jumpered) of the ballast
The VR "ign" terminal
The blue field wire to the alternator
electric choke if used
smog doo dads some years
idle stop solenoid on a few models, and distributor retard solenoid on some models.
The coil + normally has a radio supression cap mounted as well, to + side of coil.