Confused about calculating weeks pregnant

B

Editing to add: I used a due date predictor and put in both my first day of my last period and my date of conception and they came out to be the same day +/- a day! (my dr was way off by over a week) .. I also have to add she is an endocrinologist and not my actual pregnancy Dr so I will follow up with my family Dr and have the proper information sent her way!!

So my impression (and according to my last pregnancy) is that when calculating weeks pregnant, you go based off the first day of your last period. Correct?

I saw one of my Drs yesterday (who is new to me) and she was telling me I should be counting weeks from date conceived..?

I know eventually I will be going for an ultrasound to determine weeks exactly but can someone please clear this up for me?