Answer
Symmetry with respect to the $x$-axis
Work Step by Step
Testing symmetry with respect to $x$-axis: $$x=-8$$ Since the resulting equation is the same as the original equation, the equation is symmetric with respect to $x$-axis.
Testing symmetry with respect to $y$-axis:
$$-x=-8$$ $$x=8$$
Since the resulting equation is not the same as the original equation, the equation is not symmetric with respect to $y$-axis.
Testing symmetry with respect to origin:
$$-x=-8$$ $$x=8$$
Since the resulting equation is not the same as the original equation, the equation is not symmetric with respect to origin.
The sketch of the graph is as shown.
