Here's the graph of the function \( y = \log_2(x + 13) \). 

- The vertical red dashed line at \( x = -13 \) represents the asymptote.
- The blue curve shows the behavior of the logarithmic function as it increases to the right of the asymptote.

Do you want any more details or have any questions?

Here are some related questions you might find interesting:

1. How does shifting the function \( \log_2(x) \) horizontally affect its graph?
2. What is the difference between \( \log_2(x) \) and \( \log_{10}(x) \) in terms of their graphs?
3. How do you determine the domain and range of a logarithmic function?
4. What happens to the graph of \( y = \log_2(x + 13) \) if the base is changed to 10?
5. How can we graph \( y = \log_2(2x + 13) \), and how does it compare to \( y = \log_2(x + 13) \)?

**Tip:** When graphing logarithmic functions, always check the domain first to avoid undefined regions.

Explore the graph of the logarithmic function \( y = \log_2(x + 13) \), including its asymptote and behavior. Learn about shifting logarithmic functions and their domain and range. Suitable for Grades 10-12 students studying advanced algebra.

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