document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=673196>Question 673196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the standard equation for each Hyperbola.<BR>\n" );
document.write( "vertices ( 0, -12) ( 0, 12) and co-vertices (-11, 0) (11, 0)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418632 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=418632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the standard equation for each Hyperbola.<BR>\n" );
document.write( "vertices ( 0, -12) ( 0, 12) and co-vertices (-11, 0) (11, 0)<BR>\n" );
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document.write( "This is a hyperbola with 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)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "center: (0,0) (midpoints of horizontal conjugate axis and vertical transverse axis)<BR>\n" );
document.write( "length of vertical transverse axis=24 (-12 to 12)=2a<BR>\n" );
document.write( "a=12<BR>\n" );
document.write( "a^2=144<BR>\n" );
document.write( "length of horizontal conjugate axis=22 (-11 to 11)=2b<BR>\n" );
document.write( "b=11<BR>\n" );
document.write( "b^2=121<BR>\n" );
document.write( "Equation of given hyperbola:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F144-x%5E2%2F121=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F144-x%5E2%2F121=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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