document.write( "Question 643875: I am trying to test an equation for symmetry. The equation is x^2 - y^3 + 4.\r
\n" ); document.write( "\n" ); document.write( "I am starting by trying to find the intercepts. I think I found the intercepts for x - (2,0), (-2,0). I am having trouble finding the intercepts for y.\r
\n" ); document.write( "\n" ); document.write( "I substitute 0 for X and get 0 + y^3 + 4. I convert that to y^3 = -4. I am not sure where to go from there. Can I get a cube root of four? Solving for y, would my answer be the cube root of four i? Does that mean there is no y intercept?\r
\n" ); document.write( "\n" ); document.write( "I've confused myself... Thanks for any help.
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Algebra.Com's Answer #404673 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I am trying to test an equation for symmetry. The equation is x^2 - y^3 = 4.
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\n" ); document.write( "y-axis symmetry if you substitute -x for x
\n" ); document.write( "and it would give you the same equation.
\n" ); document.write( "Example: y = x^2
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\n" ); document.write( "x-axis symmetry if you substitute -y for y
\n" ); document.write( "and it would give you the same equation.
\n" ); document.write( "Example: x = y^2
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\n" ); document.write( "origin symmetry if you substitute -x for x
\n" ); document.write( "and -y for y and get the same equation.
\n" ); document.write( "Example: y = x^3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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