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.