Find g(x), where g(x) is the translation 6 units right of f(x)=x2.

Answer 1

Right and left are the directions of "x" so a translation to the right of 6 means "6" will be grouped with the "x". The only thing peculiar is that shifting right by 6 means you subtract 6 from the "x" (you can think of "x" as Mr. Opposite).

So for f(x) = x², g(x) = (x - 6)²