What size should I create parralax images so they don't scale blurry?

I am trying to create some images for parralax sections, but the keep getting scaled. What is a proper width size to use?

I've been doing fine creating images 1920px wide when not parralax, but when I do it it scales it to a point of blurring.

Example of what I want to look like:
http://www.vondutch.com/

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