Answer
domain $(-\infty,\infty)$, range $(-\infty, 8]$, function.
Work Step by Step
Step 1. Rewrite the equation as
$x^2+4x+4=-y+4+4$
or
$(x+2)^2=-(y-8)$
We see that the parabola opens downwards with a vertex at $(-2,8)$.
Step 2. We can find the domain as $(-\infty,\infty)$ and range as $(-\infty, 8]$
Step 3. The relation is a function as it will pass a vertical line test.
