Answer
x-intercept: $(4,0)$
y-intercept: $(0,4)$
symmetry: none
Work Step by Step
x-intercept:
$0=2\sqrt{4-x}$
$0=4-x$
$x=4$
y-intercept:
$y=2\sqrt{4-0}$
$y=2*2$
$y=4$
y-axis symmetry:
$y=2\sqrt{4-(-x)}$
$y=2\sqrt{4+x}$
asymmetrical
origin symmetry:
$-y=2\sqrt{4-(-x)}$
$y=-2\sqrt{4+x}$
asymmetrical
