8. The function $$ f(x)=x^{3} $$ is transformed to $$ f(x)=4 x^{3} $$. Which statement describes the graph of the transformed function? The graph was translated up by 4 units. The graph was translated down by 4 units. The graph was stretched horizontally by a factor of 4 . The graph was stretched vertically by a factor of 4 .

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1. The original function is given by
   $$
   f(x) = x^3.
   $$

2. The transformed function is
   $$
   f(x) = 4x^3.
   $$

3. In the transformation $$ f(x) = 4x^3 $$, every output value of the original function is multiplied by $$4$$. This operation affects the $$y$$-values of the function.

4. Multiplying the function by $$4$$ stretches the graph vertically by a factor of $$4$$.

5. Therefore, the correct statement is:  
   **The graph was stretched vertically by a factor of 4.**

The graph was stretched vertically by a factor of 4.

The function is transformed to . Which statement describes the graph of the transformed function?
The graph was translated up by 4 units.
The graph was translated down by 4 units.
The graph was stretched horizontally by a factor of 4 .
The graph was stretched vertically by a factor of 4 .

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The function is transformed to . Which statement describes the graph of the transformed function? The graph was translated up by 4 units. The graph was translated down by 4 units. The graph was stretched horizontally by a factor of 4 . The graph was stretched vertically by a factor of 4 .