Do you feed your daughter by the clock, or when she is hungry, or both? Sometimes feeding by the clock can result in rejecting the bottle...
Have you tried a different type of formula? When my son was on formula, I used mostly the same kind but he seemed to like switching the type once in a while(he did NOT like soy formula, tho, it gave him terrible gas)...also, try the formula at different temperatures...room temperature, or even cool...since it is getting hot outside...
When you give your daughter juice, do you water it down to 1/2 juice, 1/2 water? I think this is important since juice is so sweet, especially processed juices...like one of the other responses, I agree she may be filling up on juice since it is sweet...maybe try the 1/2 & 1/2, and buy some really good, fresh juice like fresh pressed apple juice (in the produce section) or Odwalla juice, or make it with a juicer if you have one. Even tho it is expensive, watering it down makes it go pretty far. The nutrition is FAR superior in fresh juices than processed ones (but if you buy fresh juice, buy the pasteurized kind--most are), so at least it might make up a little bit for missing some of the nutrition in the formula...
Is your child eating any baby food yet besides cereal? She is probably old enough to try pureed squash, peas, carrots, green beans, banana (& other fruits & veggies) and maybe even some sort of meat or meat alternative like the gerber meat sticks, or small pieces of soy hot dogs...this could help supplement her nutrition, and she may want some formula to go along with the food...when my son transitioned to eating food, we found a mesh spoon that I could put virtually any type of food into, (the top snaps closed), and he could just chew/gum it, and suck out the food. This is a great idea to get your child used to the food you eat in your family as well, just give a little of your food, if you feel it is appropriate (not spicy, of course), at each meal you eat while she is awake. This is how my son tried his first Thanksgiving dinner...
The formula has important nutrients in it that soy milk does not have, even tho that may be a great transition. I wouldn't recommend using that as a substitute, but more of a supplement. Maybe try adding a little bit of formula to some milk? See if she will take it then?
Hope this helps!