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

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.