What is the effect on the graph of $$ f(x)=\sqrt[3]{x} $$ when $$ f(x) $$ is replaced by $$ f(2 x) $$ ? (1 point) The graph compresses vertically by a factor of 2 . The graph stretches vertically by a factor of 2 . The graph stretches horizontally by a factor of 2 . The graph compresses horizontally by a factor of 2 .

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When you replace $$ f(x) $$ with $$ f(2x) $$ in the function $$ f(x) = \sqrt[3]{x} $$, you're effectively applying a horizontal compression.

Here's why:
- The transformation $$ f(2x) $$ means that for every $$ x $$ in the original function, you're now evaluating the function at $$ 2x $$. 
- This "speeds up" the input by a factor of 2, causing the graph to compress horizontally by the same factor.

**Answer:**
The graph compresses horizontally by a factor of 2.
The graph compresses horizontally by a factor of 2.

What is the effect on the graph of when is replaced by ?
(1 point)
The graph compresses vertically by a factor of 2 .
The graph stretches vertically by a factor of 2 .
The graph stretches horizontally by a factor of 2 .
The graph compresses horizontally by a factor of 2 .

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What is the effect on the graph of when is replaced by ? (1 point) The graph compresses vertically by a factor of 2 . The graph stretches vertically by a factor of 2 . The graph stretches horizontally by a factor of 2 . The graph compresses horizontally by a factor of 2 .