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The question asks about the transformation between \( f(x) = \ln(x) \) and \( g(x) = \ln(x + 2) \).

### Explanation:
The transformation between these two functions involves a horizontal shift:
- The function \( f(x) = \ln(x) \) is shifted **horizontally** because the term inside the logarithm has changed from \( x \) to \( x + 2 \).
- Adding 2 inside the function, i.e., \( g(x) = \ln(x + 2) \), means that the graph of \( f(x) \) is shifted **to the left by 2 units**. This is because \( \ln(x + c) \) causes a shift to the left by \( c \) units when \( c > 0 \).

Thus, the correct answer is:
- **Shift 2 to the left**.

Do you need any more details or have questions?

Here are some related questions to expand your understanding:
1. What transformation occurs when \( f(x) = \ln(x) \) becomes \( g(x) = \ln(x - 3) \)?
2. How would you shift \( f(x) = \ln(x) \) vertically?
3. What happens to the graph of \( f(x) = \ln(x) \) if \( g(x) = -\ln(x) \)?
4. How do you reflect the graph of \( f(x) = \ln(x) \) over the x-axis?
5. What kind of transformation would result in the equation \( g(x) = \ln(2x) \)?

**Tip:** Horizontal transformations inside a function affect the x-values, while vertical transformations (outside the function) affect the y-values.

If f(x) = ln(x), what is the transformation that occurs if g(x) = ln(x + 2)?

Learn how to determine the transformation of the logarithmic function f(x) = ln(x) when it becomes g(x) = ln(x + 2). This problem covers logarithmic functions and horizontal shifts. Ideal for students in Grades 9-12.

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