Describe how the graph of $$ y=x^{3} $$ is transformed by the equation $$ y=(x+3)^{3} $$. shifted 3 units to the right shifted 3 units to the left shifted 3 units upward shifted 3 units downward

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1. The given function is $$ y = (x+3)^3 $$.

2. To compare with the original function $$ y = x^3 $$, note that the transformation replaces $$ x $$ with $$ x+3 $$.

3. In horizontal translations, replacing $$ x $$ with $$ x + h $$ shifts the graph $$ h $$ units to the left. Here, $$ h = 3 $$.

4. Therefore, the graph of $$ y = x^3 $$ is shifted 3 units to the left.

Answer: shifted 3 units to the left.
The graph is shifted 3 units to the left.

Describe how the graph of is transformed by the equation .
shifted 3 units to the right
shifted 3 units to the left
shifted 3 units upward
shifted 3 units downward

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Describe how the graph of is transformed by the equation . shifted 3 units to the right shifted 3 units to the left shifted 3 units upward shifted 3 units downward