Look up phrasal verb
If a person "looks up something", he/she tries to find a piece of information about it, typically from a reference book or on a computer.
A: "I don't have the foggiest idea about making a pizza" B: "You can look up the recipe on the Internet. There are many options."
If something "looks up", it is getting better or improving.
Our financial situation is looking up since my husband got a promotion.
To contact someone if you are in the area where they live
When you come to Miami to travel, look me up. I'll be your tour guide.
When you next come to the city or town where I live, contact me so that we can meet up.
Rapidly or quickly; rapid increase, progress or development
Have helpful information about someone or something that you are trying to find, contact, or reach
The verb “look" should be conjugated according to its tense.