To shift a function to the right simply apply the idea of the parent function being f(x) and a horizontal (left and right) shift as being f(x- or + h) depending if left or right.
TO the right function would be f(x-h), so f(x-10). plug in x-10 into x
f(x-10) = 2(x-10) + 3 = 2x - 20 + 3 = 2x - 17. So k should equal 17?