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The function provided is \( g(x) = x + 4 \).

### Step 1: Identify the Parent Function
The function \( g(x) = x + 4 \) is a linear function, and the parent function for this is simply \( f(x) = x \).

### Step 2: Identify the Transformation
Comparing \( g(x) = x + 4 \) to the parent function \( f(x) = x \), the addition of 4 means that the graph is shifted **up by 4 units**.

### Conclusion:
- The parent function is **linear**.
- The transformation is a **translation up 4 units**.

Thus, the correct option is:
- **Linear; translation up 4 units.**

Would you like a detailed explanation on transformations or have any further questions?

### Related Questions:
1. What is a vertical translation in function transformations?
2. How does adding a constant affect the graph of a linear function?
3. What are the key characteristics of a linear function?
4. How do you identify horizontal transformations in functions?
5. What happens when you subtract a constant from a linear function?

**Tip:** When identifying transformations, focus on how constants added or subtracted from \( x \) or the entire function affect the graph.

Identify the parent function for the function g(x) = x + 4 based on its function rule. Then graph g and identify the transformation of the parent function that it represents.

Learn how to identify the parent function and transformation for g(x) = x + 4. This problem covers key algebraic concepts, including linear functions and vertical translations, suitable for Grades 7-9.

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