The equation is

Find the -intercept by substituting in the equation.

Apply zero product property.

and

and

-intercepts are  ,.

Find the -intercept by substituting in the equation.

Apply zero product property.

and

and

-intercepts are  and .

To test the symmetry with respect to the -axis replace with .

is not equivalent to original equation

So the graph is not symmetric with respect to -axis.

To test the symmetry with respect to the -axis replace with .

is not equivalent to original equation

So the graph is not symmetric with respect to  -axis.

To test the symmetry with respect to the origin replace  with and with .

is not equivalent to original equation

So the graph is not symmetric with respect to origin.

-intercepts are  , and -intercepts are  and

No symmetry.