\
The equation is .
Find the -intercept by substituting
in the equation.
Take square root each side.
\ or
The equation has two solutions and
.
-intercepts are
and
.
Find the -intercept by substituting
in the equation.
-intercept 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.
Intercepts are,
and
.
Symmetric with respect to the -axis.