document.write( "Question 1040354: Determine whether the graph of y=x^3+1 is symmetric with respect to the origin
\n" ); document.write( "the x-axis or the y-axis\r
\n" ); document.write( "\n" ); document.write( "A. symmetric with respect to the x-axis only
\n" ); document.write( "B. symmetric with respect to the y-axis only
\n" ); document.write( "C. symmetric with respect to the origin only
\n" ); document.write( "D. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and not symmetric with respect to the origin
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Algebra.Com's Answer #655300 by Theo(13342)\"\" \"About 
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the equation is y = x^3 + 1.\r
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\n" ); document.write( "\n" ); document.write( "if this equation is symmetric about the origin, then (x,y) = (-x,-y)\r
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\n" ); document.write( "\n" ); document.write( "if this equation is symmetric about the x-axis then (x,y) = (x,-y)\r
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\n" ); document.write( "\n" ); document.write( "if this equation is symmetric about the y-axis then (x,y) = (-x,y)\r
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\n" ); document.write( "\n" ); document.write( "when x = 3, y = 28
\n" ); document.write( "when x = -3, y = -26\r
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\n" ); document.write( "\n" ); document.write( "if this was symmetric about the origin, then when x = -3, y would have been equal to -28 and it isn't because it is equal to -26.\r
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\n" ); document.write( "\n" ); document.write( "if this was symmetric about the x-axis, then when x = 3, y would have been equal to plus or minus 28 and it isn't because it is equal to 28 only.\r
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\n" ); document.write( "\n" ); document.write( "if this was symmetric about the y-axis, then when x = -3, y would have been equal to 28 and it isn't because it is equal to -26.\r
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\n" ); document.write( "\n" ); document.write( "therefore there is no symmetry at all in this equation.\r
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