which of the following is the graph of $y = sqrt{-x - 3}$?

Explanation:

Step1: Find the domain

For $y = \sqrt{-x - 3}$, the expression under the square - root must be non - negative. So, $-x-3\geq0$, which gives $x\leq - 3$.

Step2: Analyze the behavior

When $x=-3$, $y = 0$. As $x$ decreases (since $x\leq - 3$), the value of $y=\sqrt{-x - 3}$ increases.

Answer:

The graph should start at the point $(-3,0)$ and extend to the left (negative $x$ - direction) with $y\geq0$. Since no other graphs are provided for comparison, based on the domain and behavior analysis, the correct graph should have its left - most point at $(-3,0)$ and be above the $x$ - axis for $x\leq - 3$.