document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032842>Question 1032842</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the center, foci, vertices, asymptotes, and radius, as appropriate,<BR>\n" );
document.write( "of the conic section:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+%2B+2y%5E2+-+28x+%2B+12y+%2B+114+=+0+ ALIGN=MIDDLE  ALT=\"+2x%5E2+%2B+2y%5E2+-+28x+%2B+12y+%2B+114+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------------------\r<BR>\n" );
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document.write( "Here is what I did...I am just not sure if I did it correctly.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+%2B+2y%5E2+-+28x+%2B+12y+%2B+114+=+0+ ALIGN=MIDDLE  ALT=\"+2x%5E2+%2B+2y%5E2+-+28x+%2B+12y+%2B+114+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+-+28x+%2B+2y%5E2+%2B+12y++=+-114+ ALIGN=MIDDLE  ALT=\"+2x%5E2+-+28x+%2B+2y%5E2+%2B+12y++=+-114+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28x%5E2+-+14x%29+%2B+2y%5E2+%2B+12y++=+-114+ ALIGN=MIDDLE  ALT=\"+2%28x%5E2+-+14x%29+%2B+2y%5E2+%2B+12y++=+-114+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28x%5E2+-+14x+%2B+49%29+%2B+2y%5E2+%2B+12y++=+-114+%2B+98+ ALIGN=MIDDLE  ALT=\"+2%28x%5E2+-+14x+%2B+49%29+%2B+2y%5E2+%2B+12y++=+-114+%2B+98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28x+-+7%29%5E2+%2B+2y%5E2+%2B+12y++=+-114+%2B+98+ ALIGN=MIDDLE  ALT=\"+2%28x+-+7%29%5E2+%2B+2y%5E2+%2B+12y++=+-114+%2B+98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28x+-+7%29%5E2+%2B+2%28y%5E2+%2B+6y%29++=+-114+%2B+98+ ALIGN=MIDDLE  ALT=\"+2%28x+-+7%29%5E2+%2B+2%28y%5E2+%2B+6y%29++=+-114+%2B+98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28x+-+7%29%5E2+%2B+2%28y%5E2+%2B+6y+%2B+9%29++=+-114+%2B+98+%2B+18+ ALIGN=MIDDLE  ALT=\"+2%28x+-+7%29%5E2+%2B+2%28y%5E2+%2B+6y+%2B+9%29++=+-114+%2B+98+%2B+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28x+-+7%29%5E2+%2B+2%28y+%2B+3%29%5E2++=+2+ ALIGN=MIDDLE  ALT=\"+2%28x+-+7%29%5E2+%2B+2%28y+%2B+3%29%5E2++=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x+-+7%29%5E2+%2B+%28y+%2B+3%29%5E2++=+1+ ALIGN=MIDDLE  ALT=\"+%28x+-+7%29%5E2+%2B+%28y+%2B+3%29%5E2++=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Center: (7, -3)<BR>\n" );
document.write( "Foci: (7, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 3)<BR>\n" );
document.write( "Vertices: (7, -2)<BR>\n" );
document.write( "Asymptotes: N/A<BR>\n" );
document.write( "Radius: N/A\r<BR>\n" );
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document.write( "Did I do this right? I just have the gut feeling that I messed up somewhere.\r<BR>\n" );
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document.write( "Thank you!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647435 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the center, foci, vertices, asymptotes, and radius, as appropriate,<BR>\n" );
document.write( " of the conic section: <BR>\n" );
document.write( "============\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+%2B+2y%5E2+-+28x+%2B+12y+%2B+114+=+0+ ALIGN=MIDDLE  ALT=\"+2x%5E2+%2B+2y%5E2+-+28x+%2B+12y+%2B+114+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by 2, make it easier.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+-+14x+%2B+6y+%2B+57+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+-+14x+%2B+6y+%2B+57+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+-+14x+%2B+6y+=+-57+ ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+-+14x+%2B+6y+=+-57+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-14x++%2B+y%5E2%2B6y+=+-57 ALIGN=MIDDLE  ALT=\"x%5E2-14x++%2B+y%5E2%2B6y+=+-57\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-14x%2B49++%2B+y%5E2%2B6y%2B9+=+-57+%2B+58+=+1 ALIGN=MIDDLE  ALT=\"x%5E2-14x%2B49++%2B+y%5E2%2B6y%2B9+=+-57+%2B+58+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%5E2+%2B+%28y%2B3%29%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x-7%29%5E2+%2B+%28y%2B3%29%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> circle of radius 1, center at (7,-3) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );