Here the graph has moved 2 units right, this can be represented by f(x-2), and you can substitute (x-2) to any values of x in the equation. From there, all you have to do is expand the brackets and simplify
Solution in spoiler, if you are still confused...
y = (x-6)^2 - 3
y = x^2 -12x + 36 - 3
y = x^2 -12x + 33