document.write( "Question 1000842: What is the equation of the curve y = x^3 after it is reflected in the x-axis? \n" ); document.write( "
Algebra.Com's Answer #618155 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "To reflect into an axis, we replace the variable OTHER than\r\n" );
document.write( "the variable of the axis we are reflecting in, by the negative\r\n" );
document.write( "of that variable.\r\n" );
document.write( "\r\n" );
document.write( "We wish to reflect the graph of y = x³\r\n" );
document.write( "\r\n" );
document.write( "\"graph%28400%2C400%2C-8%2C8%2C-8%2C8%2Cx%5E3%29\"\r\n" );
document.write( "\r\n" );
document.write( "into the x-axis.  So we substitute the other letter y by its \r\n" );
document.write( "negative, -y\r\n" );
document.write( "\r\n" );
document.write( "-y = x³\r\n" );
document.write( " y = -x³\r\n" );
document.write( "\r\n" );
document.write( "That's the green graph.\r\n" );
document.write( "\r\n" );
document.write( "\"graph%28400%2C400%2C-8%2C8%2C-8%2C8%2Cx%5E3%2C-x%5E3%29\"\r\n" );
document.write( "\r\n" );
document.write( "This happens to be one of those graphs such that the graph is\r\n" );
document.write( "the same whether we reflect it in the x or the y axis.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );