The problem in the image asks about how the graph of $g(x) = (x - 8)^3$ is related to the graph of $f(x) = x^3$. This is a transformation problem involving a cubic function.

The function $g(x) = (x - 8)^3$ represents a horizontal translation of the graph of $f(x) = x^3$. Specifically, the transformation $(x - 8)$ indicates a shift to the right by 8 units.

Answer:

The graph of $g(x)$ is a translation of the graph of $f(x)$ 8 units to the right.

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