Hi sophia congratulations on your daughter!
Sounds totally normal newborn behaviour I'm afraid! DS was formula fed from 12 days old onwards, but it did still take him a good few weeks to get his nights/days the right way round. he was very wakeful at night and very sleepy in the day, used to drive me bonkers!
There's a couple of things you could try: get out of the house at least once a day in the daylight with DD if you can (even if she's asleep, it will help her to learn about the difference between night and day).
Maybe try offering her a bottle every 3 hours during the day, rather than every 4?
However, I would say she is so young, you're best off trying to get some sleep during the day when she sleeps if you can....as she gets bigger and more settled over the next few weeks she will gradually start to sleep a bit more at night, and less during the day. And she will start feeding more during the day/taking bigger bottles, and then sleeping for longer periods at night. There might not be much you can do to affect this, you might just need to ride it out for a few weeks.
I think it took until about week 5 for DS to do 3-4 blocks of sleep at night. But even then he was a very noisy, restless sleeper and would keep me and DH awake all night with his snuffling/grunting/whimpering.
In the end, we put DS in his own room (in moses basket) at 6 weeks old, which is completely contrary to current SIDS advice but was the right decision for our family: it meant I could at least get 3 or so hours sleep at the 5 week mark, when DS slept, and pretty much saved my sanity.
Someone told me that things get markedly easier at 6 weeks, and then again dramatically easier at 12 weeks. I never believed it would happen but it did! Hang in there, this too will pass! I found it useful to repeat to myself: "he is a mammal, he will come to learn about night and day!"....and 15 weeks in, he has basically done just that! Much more awake during the day, has a set bedtime every night, doesnt feed in the night anymore etc etc (still wakes up every 90 mins or so, but we let him grumble for a few mins and he goes back off to sleep....most of the time!)