Answer
Intercepts: $(-9,0), (0,-3)$ and $(0,3)$.
The graph has x-axis symmetry.
Work Step by Step
$\left[\begin{array}{ll}
\text{x-intercepts:} & \text{y-intercepts:}\\
0^{2}=-x+9 & y^{2}=0+9\\
x=9 & y^{2}=9\\
& y=\pm 3\\
&
\end{array}\right]$
The intercepts are $(-9,0), (0,-3)$ and $(0,3)$.
Test x-axis symmetry: Replace $y$ with $-y$
$(-y)^{2}=x+9$
$y^{2}=x+9$
...same as initial equation
Test y-axis symmetry: Replace $x$ with $-x$
$y^{2}=-x+9$ ... different from initial equation
Test origin symmetry: $x\rightarrow-x$ and $y\rightarrow-y$.
$(-y)^{2}=-x+9$
$y^{2}=-x+9$
... different from initial equation