Answer
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.
