(a) The graph of $$ y=f(x) $$ is shown. Translate it to get the graph of $$ y=f(x-2) $$. (b) The graph of $$ y=g(x) $$ is shown. Translate it to get the graph of $$ y=g(x)+4 $$.

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To translate the graphs as described in your questions, we need to understand how transformations affect the graphs of functions.

(a) For the function $$ y = f(x - 2) $$:
- This transformation involves a horizontal shift. Specifically, replacing $$ x $$ with $$ x - 2 $$ shifts the graph of $$ f(x) $$ to the right by 2 units.
- To obtain the graph of $$ y = f(x - 2) $$, take the original graph of $$ y = f(x) $$ and move every point on the graph 2 units to the right.

(b) For the function $$ y = g(x) + 4 $$:
- This transformation involves a vertical shift. Adding 4 to the function $$ g(x) $$ shifts the graph of $$ g(x) $$ upward by 4 units.
- To obtain the graph of $$ y = g(x) + 4 $$, take the original graph of $$ y = g(x) $$ and move every point on the graph 4 units up.

In summary:
- For $$ y = f(x - 2) $$, shift the graph of $$ f(x) $$ 2 units to the right.
- For $$ y = g(x) + 4 $$, shift the graph of $$ g(x) $$ 4 units up.
- For $$ y = f(x - 2) $$, shift the graph 2 units to the right. - For $$ y = g(x) + 4 $$, shift the graph 4 units up.

(a) The graph of \( y=f(x) \) is shown. Translate it to get the graph of \( y=f(x-2) \). (b) The graph of \( y=g(x) \) is shown. Translate it to get the graph of \( y=g(x)+4 \).

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