document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851770>Question 851770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the standard form of the equation of the conic section with the given characteristics<BR>\n" );
document.write( "1. circle with center at (3,-1) and radius is 4<BR>\n" );
document.write( "2. Ellipse with vertex at(0,12) and co-vertices at(-8,0)<BR>\n" );
document.write( "3. Hyperbola with vertex at (0,4),focus at(0,5) and center at(0,1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512984 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=512984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"Tohoma\" size = 3 color = \"indigo\"><b> <BR>\n" );
document.write( "Hi,<BR>\n" );
document.write( "1. circle with center at (3,-1) and radius is 4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2+%2B+%28y%2B1%29%5E2+=+4%5E2+ ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2+%2B+%28y%2B1%29%5E2+=+4%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "2. Ellipse with vertex at(0,12) and co-vertices at(-8,0), C(0,0) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%5E2%2F12%5E2+%2B+%28y%29%5E2%2F8%5E2+=+1+ ALIGN=MIDDLE  ALT=\"%28x%29%5E2%2F12%5E2+%2B+%28y%29%5E2%2F8%5E2+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "3. Hyperbola with vertex at (0,4),focus at(0,5) and center at(0,1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-1%29%5E2%2F3%5E2+-+%28x%29%5E2%2F7+=+1 ALIGN=MIDDLE  ALT=\"%28y-1%29%5E2%2F3%5E2+-+%28x%29%5E2%2F7+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > 4 = sqrt(3^2 + 7 )<BR>\n" );
document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > with C(h,k) and vertices 'b' units up and down from center,  <BR>\n" );
document.write( "Foci <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E2%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E2%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >units units up and down from center, along x = h </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );