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Your car's wiring plugs into the connector on the left side of the ballast. The connector in the center of the ballast is for the igniter wiring that goes to the bulb.
Once you disconnect the plug from the ballast, you will then plug the pigtail into the car's connector. If the HID Extra ballasts do not have a 9006 style plug on them, you will need to cut the 9006 connector off the pigtail and crimp on whatever connector you need to plug into the HID Extra ballast, making sure that you keep the polarity the same as the connector on the car.
You will have to remove the bumper in order to remove the headlights so that you can connect the new ballasts to the bulbs. You will also have to do something to cover the hole at the bottom of each headlight that will become exposed once you remove the OEM ballasts. You will probably want to run your new bulb connectors through those holes.
