Answer
Parabola
Work Step by Step
We can see that x is squared but y is not squared, therefore the equation will be a parabola.
This given equation is equivalent to:
$(x-3)^2+y-9=0$
$y-9=-(x-3)^2$
Which can be easily transformed to the general equation of a vertical parabola:
$y-h=a(x-k)^2$
Here, it is: $y-9=-(x-3)^2$
