Answer :

Answer: 4 units to the right

Step-by-step explanation:

The term (x-4) in g(x) indicates that the graph has been shifted horizontally by 4 units to the right compared to f(x).

This can be seen with the vertex of each graph.

When we set f(x) = 0, we get x is also equal to 0. Therefore, the vertex of f(x) is (0, 0).

When we set g(x) = 0, we get x is equal to 4. Therefore, the vertex of g(x) is (4, 0), which is 4 units to the right of the vertex of f(x).

The direction of the shift is to the right and the amount of shift is 4 units.

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