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.
