Answer
No symmetry
Work Step by Step
Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis.
$(−x)^{2}$-(-x)= $x^{2}$+x
Equations are not equivalent, so not symmetric to y-axis.
Substitute -y for y. If equation is equivalent, graph is symmetric to x-axis.
-y=$x^{2}$-x
y=-$x^{2}$+x
Equations are not equivalent, so not symmetric to x-axis.
Substitute -y for y and -x for x. If equation is equivalent, graph is symmetric to origin.
-y=$(-x)^{2}$-(-x)
y=-$x^{2}$-x
Equations are not equivalent, so not symmetric to origin.
