Question: What is the effect on the graph of $f(x) = \frac{1}{x}$ when it is transformed to $g(x) = \frac{1}{x} + 13$? A. The graph of $f(x)$ is shifted 13 units to the right. B. The graph of $f(x)$ is shifted 13 units up. C. The graph of $f(x)$ is shifted 13 units down. D. The graph of $f(x)$ is shifted 13 units to the left. The graph for $g(x) = \frac{1}{x} + 13$ is the graph of $\frac{1}{x}$ shifted 13 units up.

1. **State the problem:** We want to find the effect on the graph of $f(x) = \frac{1}{x}$ when it is transformed to $g(x) = \frac{1}{x} + 13$. 2. **Recall the transformation rule:** Adding a constant $c$ to a function $f(x)$ as in $g(x) = f(x) + c$ shifts the graph vertically by $c$ units. 3. **Apply the rule:** Here, $g(x) = \frac{1}{x} + 13$ means the graph of $f(x)$ is shifted up by 13 units. 4. **Interpret the options:** - Option A and D describe horizontal shifts, which would involve changing $x$ inside the function. - Option B describes a vertical shift up by 13 units, which matches our transformation. - Option C describes a vertical shift down, which is incorrect. 5. **Final answer:** The graph of $f(x)$ is shifted 13 units up. **Answer: B.**