$$ f(x)=x^{2} $$ $$ g(x)=(x+3)^{2}+5 $$ We can think of $$ g $$ as a translated (shifted) version of $$ f $$. Complete the description of the transformation. Use nonnegative numbers. To get the function $$ g $$, shift $$ f $$ up/down $$ \vee $$ by units and to the right/left $$ \vee $$ by $$ \square $$ units.

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To describe the transformation from the function $$ f(x) = x^2 $$ to the function $$ g(x) = (x + 3)^2 + 5 $$, we can analyze the changes made to the original function.

1. **Horizontal Shift**: The term $$ (x + 3) $$ indicates a horizontal shift. Since it is $$ x + 3 $$, this means we shift the graph of $$ f(x) $$ to the left by 3 units.

2. **Vertical Shift**: The term $$ +5 $$ indicates a vertical shift. Since we are adding 5, this means we shift the graph of $$ f(x) $$ upwards by 5 units.

Now, we can complete the description of the transformation:

To get the function $$ g $$, shift $$ f $$ up/down **5** units and to the right/left **3** units.

Thus, the completed description is:
- Up/Down: **5**
- Right/Left: **3**
To get the function $$ g $$, shift $$ f $$ up by 5 units and to the left by 3 units.

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