document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473375>Question 473375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which is it symmetric with: x-axis, y-axis or origin?<BR>\n" );
document.write( "y^2=x^2+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324619 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=324619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> which is it symmetric with: x-axis, y-axis or origin?<BR>\n" );
document.write( "y^2=x^2+4<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "y^2 - x^2 = 4<BR>\n" );
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document.write( "y^2/4 -x^2/4 = 1<BR>\n" );
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document.write( "It's an ellipse with center at (0,0) so its symmetric to all three.<BR>\n" );
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document.write( "Interchange x with -x and you get no change: so, symmetric to y-axis<BR>\n" );
document.write( "Interchange y with -y and you get no change: so, symmetric to x-axis<BR>\n" );
document.write( "Interchange both and you get no change; so, symmetric to origin<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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