#### Answer

The graph is NOT symmetrical about the x - axis.
The graph is symmetrical about the y - axis.
The graph is NOT symmetrical about the origin.

#### Work Step by Step

y = $x^{4} - x^{2} + 3$
Replacing the x with -x does not change the equation,so the graph is symmetrical about the y-axis.
Replacing the y with -y changes the equation,so the graph is not symmetrical about the x-axis.
Replacing the x,y with -x, -y changes the equation,so the graph is not symmetrical about the origin.