document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601326>Question 601326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the directions are to graph the equation. identify the vertices, foci, and asymptotes or the hyperbola. the problem is:\r<BR>\n" );
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document.write( "y^2/49 - x^2/121 =1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379689 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=379689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the directions are to graph the equation. identify the vertices, foci, and asymptotes or the hyperbola. the problem is: <BR>\n" );
document.write( "y^2/49 - x^2/121 =1<BR>\n" );
document.write( "This is an equation for a hyperbola with vertical transverse axis:<BR>\n" );
document.write( "Its standard form: (y-k)^2/a^2-(x-h)^2/b^2=1, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given equation: y^2/49 - x^2/121 =1<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "a^2=49<BR>\n" );
document.write( "a=&#8730;49=7<BR>\n" );
document.write( "vertices: (0,0±a)=(0,0±7)=(0,-7) and (0,7)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=121<BR>\n" );
document.write( "b=&#8730;121=11<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "c^2=49+121<BR>\n" );
document.write( "c=&#8730;170&#8776;13.04<BR>\n" );
document.write( "Foci: (0,0±c)=(0,0±13.04)=(0,-13.04) and (0,13.04)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Asymptotes:<BR>\n" );
document.write( "Slope of asymptotes: ±a/b=±7/11<BR>\n" );
document.write( "Asymptotes are straight lines that go thru the center (0,0)<BR>\n" );
document.write( "Standard form of equation: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "y-intercept=0<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "y=7x/11<BR>\n" );
document.write( "and<BR>\n" );
document.write( "y=-7x/11<BR>\n" );
document.write( "see graph below:\r<BR>\n" );
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document.write( "y=±(49+49x^2/121)^.5\r<BR>\n" );
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