document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144212>Question 144212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi <BR>\n" );
document.write( "im a student who is struggling with conics<BR>\n" );
document.write( "therefore i'll appreciate it if you could help me<BR>\n" );
document.write( "i do not understand why this equation below is a \"hyperbola\" ... ?<BR>\n" );
document.write( "my teacher said that it was a hyperbola and i still don't get it <BR>\n" );
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document.write( "9xy = 4\r<BR>\n" );
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document.write( "i found that the standard form was y= 4/9x but why is this an hyperbola? <BR>\n" );
document.write( "doesn't both x and y have to be squared?? <BR>\n" );
document.write( "and can you please tell me how to graph it?? <BR>\n" );
document.write( "i also learned that it has both horizontal and vertical asymptotes<BR>\n" );
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document.write( "thank you so much for your help!<BR>\n" );
document.write( "i'll be waiting <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104990 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104990\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, it is a hyperbola that is symmetric to the line y=x.<BR>\n" );
document.write( "If you plot a few points in the 1st and 3rd quadrants you<BR>\n" );
document.write( "will see it..<BR>\n" );
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document.write( "Since xy = 4/9 you can see that as x gets larger y has to get smaller <BR>\n" );
document.write( "but never gets to y=0 (the x-axis), and as y gets larger the x gets<BR>\n" );
document.write( "smaller but never gets to x = 0 (the y-axis).  So the asymptotes are<BR>\n" );
document.write( "the x and y axes.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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