document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196696>Question 196696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the conic section represented by each equation. For a poraola, give the vertex. For a circle, give the center and radius. For an ellipse or hyperbola, give the center and foci.\r<BR>\n" );
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document.write( "(1) x^2-4y^2+4x+8y-16=0<BR>\n" );
document.write( "For this one I found that the equation would be (x+2)^2/16-(y-1)^2/4=1<BR>\n" );
document.write( "I got that this is a hyperbola.<BR>\n" );
document.write( "I found the center to be (-2,1)<BR>\n" );
document.write( "I found the foci to be (4.47,0) (-4.47,0).\r<BR>\n" );
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document.write( "(2) 25x^2+4y^2-50x-24y-39=0<BR>\n" );
document.write( "For this one I found that the equation would be (x-1)^2/4 + (y-3)^2/25=1<BR>\n" );
document.write( "I got that this is an ellipse<BR>\n" );
document.write( "I found that the center is (1,3)<BR>\n" );
document.write( "I found that the foci is (0,4.58) (0,-4.58)\r<BR>\n" );
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document.write( "Is this correct?<BR>\n" );
document.write( "I'm not really sure what I'm doing....\r<BR>\n" );
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document.write( "Thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147430 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=147430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) x^2-4y^2+4x+8y-16=0<BR>\n" );
document.write( "For this one I found that the equation would be (x+2)^2/16-(y-1)^2/4=1<BR>\n" );
document.write( "I got that this is a hyperbola.<BR>\n" );
document.write( "I found the center to be (-2,1)<BR>\n" );
document.write( "I found the foci to be (4.47,0) (-4.47,0)<BR>\n" );
document.write( "The center is correct, but the foci can't be symmetrical about the Origin if the center is not at the Origin.<BR>\n" );
document.write( "You have to add the \"offset\" to the foci, that is, shift them in the same way the center is shifted from the Origin.<BR>\n" );
document.write( "foci at: (2.47,1) (-6.47,1)<BR>\n" );
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document.write( "(2) 25x^2+4y^2-50x-24y-39=0<BR>\n" );
document.write( "For this one I found that the equation would be (x-1)^2/4 + (y-3)^2/25=1<BR>\n" );
document.write( "I got that this is an ellipse<BR>\n" );
document.write( "I found that the center is (1,3)<BR>\n" );
document.write( "I found that the foci is (0,4.58) (0,-4.58)<BR>\n" );
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document.write( "Same as above.<BR>\n" );
document.write( "You have to add the \"offset\" to the foci, that is, shift them in the same way the center is shifted from the Origin.<BR>\n" );
document.write( "--> foci at (1,7.58) (1,-1.58)<BR>\n" );
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document.write( "PS You can dl FREE software to graph these at<BR>\n" );
document.write( "www.padowan.dk.com/graph/<BR>\n" );
document.write( "Use Function, Insert Relation for these </SPAN>\n" );
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