1. The problem is to identify the graph of the function $f(x) = \sqrt{x - 1} - 4$. 2. The square root function $\sqrt{x}$ starts at $x=0$ and $y=0$ and increases slowly to the right. 3. For $f(x) = \sqrt{x - 1} - 4$, the inside of the square root shifts the graph right by 1 unit, so the domain starts at $x=1$. 4. The $-4$ outside the square root shifts the graph down by 4 units. 5. Therefore, the graph starts at the point $(1, -4)$ and moves upward and rightward. 6. Checking the given graphs: - Bottom-left graph starts near $x=-4$, which is less than 1, so it cannot be correct. - Bottom-center graph starts near $x=2$, $y=-4$, close to our expected start at $(1,-4)$ and moves upward and rightward. - Bottom-right graph starts near $x=-2$, which is less than 1, so it cannot be correct. 7. Hence, the bottom-center graph matches the function $f(x) = \sqrt{x - 1} - 4$. Final answer: The bottom-center graph represents $f(x) = \sqrt{x - 1} - 4$.