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.
