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Tables of values for f(x) and g(x) are given below. Write g(x) as a transformation of f(x).

Tables of values for f(x) and g(x) are given below. Write g(x) as a transformation-example-1
User Alex Argo
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From the given table, it is clear that if

x_(g) = x_(f) + 8
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.
Tables of values for f(x) and g(x) are given below. Write g(x) as a transformation-example-1
User Andy Dobedoe
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