document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762019>Question 762019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of the hyperbola satisfying the given conditions.<BR>\n" );
document.write( "&#8232;Conditions:  vertices at (0,3) and (0,-3); foci at (0,5) and (0,-5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463894 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=463894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of the hyperbola satisfying the given conditions.<BR>\n" );
document.write( "&#8232;Conditions:  vertices at (0,3) and (0,-3); foci at (0,5) and (0,-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)=(x,y) coordinates of center<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "a=3 (distance from center to vertices)<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "c=5 (distance from center to foci)<BR>\n" );
document.write( "c^2=25<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "b^2=c^2-a^2=25-9=16<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%2F9-x%5E2%2F16=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F9-x%5E2%2F16=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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