The graph of the parent function f(x)=x^3 is translated to from the graph of g(x)=(x-4)^3-7. The point (0,0) on the graph of f(x) corresponds to which point on the graph of g(x)?

The figure below shows the graph of both functions. The graph of the function f has been plotted in red while the graph of the function g has been plotted in blue. As you can see, the graph of the function g has been shifted four units to the right and seven units downward. In other words, the point (0, 0) on the graph of f(x) corresponds to the point (4, -7) on the graph of g(x) and this is also shown in the figure below.

The graph of the parent function f(x)=x^3 is translated to from the graph of g(x)=(x-4)^3-7. The point (0,0) on the graph of f(x) corresponds to which point on the graph of g(x)?​

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The graph of the parent function f(x)=x^3 is translated to from the graph of g(x)=(x-4)^3-7. The point (0,0) on the graph of f(x) corresponds to which point on the graph of g(x)?