domain $[-4,\infty)$, range $(-\infty, \infty)$, not a function.
Work Step by Step
Step 1. Rewrite the equation as $y^2+6y+9=x-5+9$ or $(y+3)^2=x+4$ We see that the parabola opens to the right with a vertex at $(-4,-3)$. Step 2. We can find the domain as $[-4,\infty)$ and range as $(-\infty, \infty)$ Step 3. The relation is not a function as it will fail a vertical line test.