The equation is .
Test algebraically symmetric with respect the -axis:
Substitute for
in
.
Because is not equivalent to
, the graph is not symmetric with respect to the
-axis.
\
Test algebraically symmetric with respect to the -axis:
Substitute for
in
.
Because is equivalent to
, the graph is symmetric with respect to the
-axis.
\
Test algebraically symmetric with respect to the origin:
\Substitute for
and
for
in
.
Because is not equivalent to
, the graph is not symmetric with respect to the origin.
is symmetric with respect to the
-axis.