Answer
x-intercept: $(0,0), (8,0)$
y-intercept: $(0,0)$
symmetry: none
Work Step by Step
x-intercept:
$0=|x-4|-4$
$|x-4|=4$
$x-4=4, x-4=-4$
$x=0,8$
y-intercept:
$y=|0-4|-4$
$y=4-4$
$y=0$
y-axis symmetry:
$y=|-x-4|-4$
asymmetrical
origin symmetry:
$-y=|-x-4|-4$
$y=-|-x-4|+4$
asymmetrical
