What type of bush is this
Thank you for the images of your mystery flower. The shrub is a camellia, a hardy evergreen shrub which grows slowly. The nice formal flower reminds me of one I had years ago named 'Debutante.' But don't trust that name, simply because camellias number in the 1000s.
Basic information how to grow camellias can be found here: http://www.monrovia.com/how-to-grow-camellias/