Does the equation y=x^2-x have y-axis, x-axis, or origin symmetry?

Answer 1

I let Wolfram graph it for you

http://www.wolframalpha.com/input/?i=plot+y%3Dx%5E2-x

As you can see, it is not symmetrical about any of the ones you mentioned.

e.g. (3,6) lies on your graph
If it were symmetrical about the y-axis, (-3,6) should be on the graph, it is NOT
If it were symmetrical about the x-axis, (3,-6) should be on the graph, it is NOTIf it were symmetrical about the origin, (-3,-6) should be on the graph, it is NOT