The point $$ (4,64) $$ is on the graph of $$ f(x)=x^{3} $$. What is the point $$ (4,64) $$ shifted to when $$ g(x)=f(x)+8 $$ ? (1 point) $$ (-4,72) $$ $$ (4,58) $$ $$ (4,72) $$ $$ (72,4) $$

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When you shift the graph of $$ f(x) = x^3 $$ by adding 8 to obtain $$ g(x) = f(x) + 8 $$, you are moving every point on the graph up by 8 units.

Given the point $$ (4, 64) $$ on $$ f(x) $$:

$$
g(4) = f(4) + 8 = 64 + 8 = 72
$$

So, the new point after the shift is $$ (4, 72) $$.

**Answer:** $$ \boxed{(4,72)} $$
The point $$ (4, 64) $$ shifts to $$ (4, 72) $$.

The point is on the graph of . What is the point shifted
to when ? (1 point)

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The point is on the graph of . What is the point shifted to when ? (1 point)