SOLUTION: Test the equation x^4-y^4=16 for symmetry wit hte respect to the x axis, the y axis, and the origin

Algebra ->  Linear-equations -> SOLUTION: Test the equation x^4-y^4=16 for symmetry wit hte respect to the x axis, the y axis, and the origin      Log On


   

Question 409779: Test the equation x^4-y^4=16 for symmetry wit hte respect to the x axis, the y axis, and the origin
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
WRT x-axis:
x%5E4+-+%28-y%29%5E4+=+16+=+x%5E4+-+y%5E4, so YES.
WRT y-axis:
%28-x%29%5E4+-+y%5E4+=+16+=+x%5E4+-+y%5E4, so YES.
WRT origin:
%28-x%29%5E4+-+%28-y%29%5E4+=+16+=+x%5E4+-+y%5E4, so YES.