Answer
x-intercepts: $(-2,0), (2,0)$
y-intercepts: $(0,4)$
symmetry: y-axis
Work Step by Step
x-intercept:
$0=-x^2+4$
$x^2=4$
$x=-2,2$
y-intercept:
$y=-0^2+4$
$y=4$
y-axis symmetry:
$y=-(-x)^2+4$
$y=-x^2+4$
symmetrical
origin symmetry:
$-y=-(-x)^2+4$
$y=x^2-4$
asymmetrical
