Answer
(a) w.r.t the $x$-axis = $(-8, 0)$, which is same than the one given
(b) w.r.t the $y$-axis = $(8, 0)$
(c) w.r.t the origin = $(8, 0)$, which is same than the one w.r.t the $y$-axis
See Graph I
Work Step by Step
Point given = $(-8, 0)$
(a) w.r.t the $x$-axis (no change in $x$, negative change to $y$), therefore, the point is $(-8, 0)$, which is same than the one given
(b) w.r.t the $y$-axis (no change is $y$, negative change to $x$), therefore, the point is $(8, 0)$
(c) w.r.t the origin (negative changes to both $x$ and $y$), therefore, the point is $(8, 0)$, which is same than the one w.r.t the $y$-axis