How do you transfer an game an fire tablet to an iPhone

You cannot. Apps and games designed for Android devices such as the Fire Tablet cannot be run on iPhone.

You can search the App Store on the iPhone and see if there is a compatible version of the game for iPhone there for download.

Some companies may offer the option to sync your progress to your Facebook account. In that case, if you log back in on your iPhone, you may have access to it. Contact the developers of the games to see what options they can offer.