a. Sketch the graph obtained by shifting the graph of $$ f(x) $$ to the right 2 unit Label the new function $$ g(x) $$.

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To shift the graph of a function $$ f(x) $$ to the right by 2 units, we need to modify the function as follows:

$$
g(x) = f(x - 2)
$$

This transformation means that for every $$ x $$ value in the original function $$ f(x) $$, we will evaluate it at $$ x - 2 $$ in the new function $$ g(x) $$.

### Steps to Sketch the Graph:

1. **Identify the Original Function**: We need to know the specific form of $$ f(x) $$ to sketch the graph accurately. If you provide the function $$ f(x) $$, I can help you with the specific graph.

2. **Apply the Transformation**: For each point $$ (x, f(x)) $$ on the graph of $$ f(x) $$, the corresponding point on the graph of $$ g(x) $$ will be $$ (x + 2, f(x)) $$.

3. **Sketch the New Graph**: 
   - Take points from the original graph of $$ f(x) $$.
   - Shift each point 2 units to the right.
   - Plot these new points to form the graph of $$ g(x) $$.

4. **Label the New Function**: Clearly label the new function as $$ g(x) $$ on the graph.

If you provide the specific function $$ f(x) $$, I can assist you further in sketching the graph and providing more detailed steps.
To shift the graph of $$ f(x) $$ to the right by 2 units, create a new function $$ g(x) = f(x - 2) $$. This means every point $$ (x, f(x)) $$ on $$ f(x) $$ moves to $$ (x + 2, f(x)) $$ on $$ g(x) $$.

a. Sketch the graph obtained by shifting the graph of \( f(x) \) to the right 2 unit Label the new function \( g(x) \).

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