## Calculus 10th Edition

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.