Anemic or Hormones?

Has anyone experienced pregnancy induced anemia?

I haven't had low iron levels before, but since getting pregnant, I'm always tired and cold (even though everyone has said I'll be hot all the time). I also have developed dark under eyes and occasional headaches.

I'll talk to my doctor at my appointment tomorrow. Obviously all these things could just be pregnancy hormones, but it dawned on me that I could also be anemic. I'm carrying triplets, so I also heard that can make mineral deficiencies more common.