 #1
nycmathguy
 Homework Statement:

Use the algebraic tests to check for
symmetry with respect to both axes and the origin.
 Relevant Equations:
 N/A
PUse the algebraic tests to check for
symmetry with respect to both axes and the origin.
x  y^2 = 0
Let x = x
x  y^2 = 0
Not symmetric with respect to the yaxis.
Let y = y
x  (y)^2 = 0
x  y^2 = 0
Symmetric with respect to the xaxis.
Let x = x and y = y
x  (y)^2 = 0
x  y^2 = 0
Not symmetric with respect to the origin.
symmetry with respect to both axes and the origin.
x  y^2 = 0
Let x = x
x  y^2 = 0
Not symmetric with respect to the yaxis.
Let y = y
x  (y)^2 = 0
x  y^2 = 0
Symmetric with respect to the xaxis.
Let x = x and y = y
x  (y)^2 = 0
x  y^2 = 0
Not symmetric with respect to the origin.