document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612350>Question 612350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the hyperbola with verticies (0,3) and (0,-3) and asmptotes y=3/2x and y=-3/2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385371 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=385371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the hyperbola with verticies (0,3) and (0,-3) and asymptotes y=3/2x and y=-3/2x<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: (y-k)^2/a^2-(x-h)^2/b^2=1 , (h<k)=(x,y) coordinates of the vertex.\r<BR>\n" );
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document.write( "for given hyperbola:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "length of vertical transverse axis=6=2a<BR>\n" );
document.write( "a=3<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "slope of asymptotes=a/b=3/2<BR>\n" );
document.write( "b=2a/3=2<BR>\n" );
document.write( "b^2=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation of given hyperbola:<BR>\n" );
document.write( "y^2/9-x^2/4=1<BR>\n" );
document.write( " </SPAN>\n" );
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