Answer
x-intercept: $(9,0)$
y-intercepts: $(0,-3), (0,3)$
symmetry: x-axis
Work Step by Step
x-intercept:
$0^2=9-x$
$x=9$
y-intercept:
$y^2=9-0$
$y=-3,3$
y-axis symmetry:
$y^2=9-(-x)$
$y^2=9+x$
asymmetrical
origin symmetry:
$(-y)^2=9-(-x)$
$y^2=9+x$
asymmetrical
x-axis symmetry:
$(-y)^2=9-x$
$y^2=9-x$
symmetrical