My parents moved my sister and _ to a place. ( i) or( me) which is correct and why

The answer is my parents moved my sister and me

Hello!

The correct answer to this question is: My parents moved my sister and me to a place. 

A simple way to see which word works correctly is by removing the other subject. 
In this case, you would remove "my sister" to help you find the answer.

Option 1) My parents moved I to a place. 
Option 2) My parents moved me to a place. 

By doing this, you can see that "me" works correctly in this sentence. 

I hope this helps you! Have a great day!