Will I lose my Apps if I sync my iPhone?

I just got a new computer and for about 2 years I have been using my mom's computer. Now I want to sync my apps onto my new computer but I don't want to lose my apps. When I plug-in my iPhone into my computer it says 'Erase and Sync' or 'Cancel' but there isn't any 'Transfer Purchase'. What do I do? Can someone please answer as soon as possible.

Nope they will go on to your computer and will be saved on there but they will also stay on your phone.

Sync means you want to synchronise the contents of your iTunes library with your phone. If you do not have your apps in your iTunes library they will not be available on your phone.

You will not lose them as they are associated with the Apple ID used to download them and can always be re-downloaded.

Log into the iTunes store on the computer with the same Apple ID used to download the apps on the phone. It will then download copies of your apps into the iTunes library. You can then sync and manage your apps on the computer with your phone.

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