If i get a new iphone and use my old apple id when i gi to app store will apps that i had at one time on the old phone carry over to the new phone or will it have the (get )sign?

Yes, if you maintain the same Apple ID and restore the new iphone from your previously made backup (via iCloud or via iTunes), you'll find all your apps and related data data on the new device.

Keep in mind that with current iOS 11.1.1 apps written with 32bit architecture are no longer compatible (only 64bit apps can work).

I suggest that you read some support articles like these:

How to back up your iPhone, iPad, and iPod touch - Apple Support

and also..

Transfer content from your previous iOS device to your new iPhone, iPad, or iPod touch - Apple Support

Regards

Giulio

Yes it is a fact: the App Store remembers which apps you have downloaded with your Apple ID.

If you access the App Store with your Apple ID on another device (like a new iPhone), you will see the cloud with arrow icon near each application that you have ever downloaded with the Apple ID and is not currently installed on that device.

In a nutshell, your daughter tells the truth. She might have installed Tinder once, potentially deleted it without using it, but the App Store will show the cloud with the arrow.

I hope this helps...

Now I got it.

1. When you download an app from AppStore, that "purchase" (even if free of charge) remains tied to the Apple ID used to download it, so that you can delete it from your iPhone, but the app is still available when you want it back.

2. If you don't make a backup (via iTunes or via iCloud), when you set up a new iphone with the same Apple ID, you can't transfer your old data, apps, photos, settings, from old to new device, so that you must set up everything (and install again all apps you downloaded, and yes they have a cloud symbol on the right, but it's not your iCloud storage, it means that those apps are saved among your purchased apps)

3. I strongly recommend that every user make a backup of his/her iPhone content frequently, to avoid any risks.

4. Recover (or restore) info from a backup is a quick and easy operation. In addition to what I've already sent in my first reply, please read this:

Restore your iPhone, iPad, or iPod touch from a backup - Apple Support

My english is not good, I know, but I hope you understand.

Let me know if everything is clear now.

Regards

Giulio

Sorry, but I don't understand your question.

What (when, where) should it show? Can you please better explain it?

Thank you.

Giulio