My car's headlights kill my car.. Help?

Yesterday i got off work went out to my car and put the keys in the ignition and as a result my radio came on but once i turned on my headlights my car completely died and i couldn't start it. I had to get a jump start, but once i got that i headed home. Once i got to my house i turned on my headlights again to see what was going on, but then my car died again. Does anyone know what is going on?
By the way.. i just replaced the battery and the alternator a couple weeks ago.
 
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