Answer
(a) w.r.t the $x$-axis = $(-4, 2)$
(b) w.r.t the $y$-axis = $(4, -2)$
(c) w.r.t the origin = $(4, 2)$
See Graph I
Work Step by Step
Point given = $(-4, -2)$
(a) w.r.t the $x$-axis (no change in $x$, negative change to $y$), therefore, the point is $(-4, 2)$
(b) w.r.t the $y$-axis (no change is $y$, negative change to $x$), therefore, the point is $(4, -2)$
(c) w.r.t the origin (negative changes to both $x$ and $y$), therefore, the point is $(4, 2)$
