Updating app that were downloaded with a different apple ID

Apps and other digital content are non-transferable between Apple IDs. This has been a sticking point for many users in the past, since you can't even transfer between the same Apple ID but between different regions. There are two potential solutions:

  1. Abandon the apps on your dad's account. Re-buy them on your new Apple ID.
  2. Use your dad's Apple ID for iTunes stores purchases only, and your own for everything else. You can do this by Settings > iTunes & App Stores and changing your Apple ID there to your dad's Apple ID, but still logging into your own for iCloud. I know that this is how a few of my friends share their apps in their families.

Not sure what advice you are looking for really.

To update apps downloaded with a particular Apple Id needs the password for that ID.

Perhaps you should have done a "factory reset" and established your own Apple Id from the start. Do not reset until you’re ready to walk away from all the apps you can’t update. You will need to repurchase them, go without or find a substitute app that is available in this case.