1. The problem is to graph the function $$y=\sqrt{x+5}-4$$ by translating the graph of $$y=\sqrt{x}$$. 2. The base function is $$y=\sqrt{x}$$, which starts at the origin (0,0) and increases to the right. 3. The function $$y=\sqrt{x+5}$$ translates the graph of $$y=\sqrt{x}$$ to the left by 5 units because adding 5 inside the square root shifts the graph horizontally. 4. The function $$y=\sqrt{x+5}-4$$ then shifts the graph down by 4 units because subtracting 4 outside the square root shifts the graph vertically. 5. Therefore, the endpoint of the graph is at $$(-5,-4)$$, and the graph increases to the right from this point. 6. The correct graph is a square-root curve starting at $$(-5,-4)$$ and increasing to the right, matching the description of option A. Final answer: The graph is option A, a square-root curve translated left 5 units and down 4 units with endpoint at $$(-5,-4)$$.