From the given table, it is clear that if [tex]x_{g} = x_{f} + 8[/tex] then the values of f and g match.
Therefore f(x+8) = g(x) or g(x) = f(x+8)
The required transformation is a left shift in x by -8 units for f(x). A composite graph of f(x+8) and g(x) confirms that the transformation is correct.