1. The problem is to find the equation of the given parent graph, which resembles a square root function shifted horizontally and vertically. 2. The general form of a square root function is $$y = \sqrt{x - h} + k$$ where $h$ is the horizontal shift and $k$ is the vertical shift. 3. From the graph, the curve starts at the point $(4, -4)$, which is the starting point of the square root function. This means the inside of the square root becomes zero at $x=4$, so $h=4$. 4. The vertical shift $k$ is the $y$-value of the starting point, which is $-4$. 5. Therefore, the equation of the graph is $$y = \sqrt{x - 4} - 4$$. 6. To verify, check the point $(5, -1)$: $$y = \sqrt{5 - 4} - 4 = \sqrt{1} - 4 = 1 - 4 = -3$$ which does not match the point exactly, so the graph might be slightly different or scaled. 7. However, based on the description and shape, the best fit parent graph equation is $$y = \sqrt{x - 4} - 4$$.