document.write( "Question 643875: I am trying to test an equation for symmetry. The equation is x^2 - y^3 + 4.\r
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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
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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
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document.write( "I've confused myself... Thanks for any help. \n" );
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Algebra.Com's Answer #404673 by stanbon(75887)![]() ![]() ![]() 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. \n" ); document.write( "------ \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 \n" ); document.write( "---------------- \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 \n" ); document.write( "---------------------------------------- \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 \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |