iPad missing app on home screen

Our Netflix app is not showing up on our home screen even though the App Store says we have it downloaded on this device. I just updated my iPad so it is up to date. The netflix icon shows up on the updates page in the App Store, but there is nothing to the far right indicating we can update or open the application. When you search for it in the App Store it shows up, but if you try to "get" it the icon says update, but it is very faint and does not do anything when you press on it. I called Netflix and they told me if I cannot uninstall the app, which I cannot get it to delea, then it is an apple problem. So I cannot get it, or update it, or deleat it. And it does not show up on the home screen to play. Please help.