document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879009>Question 879009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530510 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=530510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given hyperbola has a vertical transverse axis:<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=coordinates of center<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "y-coordinate of center=-5 (midpoint of -1 and -9 on the vertical transverse axis)<BR>\n" );
document.write( "x-coordinate of center=3  (midpoint of -6 and 12 on the conjugate axis)<BR>\n" );
document.write( "center: (3,-5)<BR>\n" );
document.write( "length of vertical transverse axis=8(-1 to -9)=2a<BR>\n" );
document.write( "a=4<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "length of conjugate axis=18(-6 to 12)=2b<BR>\n" );
document.write( "b=9<BR>\n" );
document.write( "b^2=81<BR>\n" );
document.write( " equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B5%29%5E2%2F16-%28x-3%29%5E2%2F81=1 ALIGN=MIDDLE  ALT=\"%28y%2B5%29%5E2%2F16-%28x-3%29%5E2%2F81=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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