Does the Buillt-in Apple Recovery Partition already have an OS X Image or does it download it over internet? I am asking because if it does download over the internet I want to create my own recovery partition from a Yosemite Install application.
It has to download. You can make a bootable partition that installs macOS using the free Install Disk Creator. Just follow the instructions there on how to use it, but point it at a blank partition of 8GB or larger.