document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598440>Question 598440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Direction: Write an equation for each hyperbola. \r<BR>\n" );
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document.write( "vertices: (1,1) and (1,-3)<BR>\n" );
document.write( "foci:  {1, -1 +or- sqrt(5)}\r<BR>\n" );
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document.write( "I would like to say please and thank you for helping me, in advance.(: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378587 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=378587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Direction: Write an equation for each hyperbola. <BR>\n" );
document.write( "vertices: (1,1) and (1,-3)<BR>\n" );
document.write( "foci: {1, -1 +or- sqrt(5)}<BR>\n" );
document.write( "**<BR>\n" );
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 center.<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "x-coordinate of center=1<BR>\n" );
document.write( "y-coordinate of center=(1-3)/2=-2/2=-1 (by midpoint formula)<BR>\n" );
document.write( "center: (1,-1)<BR>\n" );
document.write( "length of vertical transverse axis=4 (-3 to 1)=2a<BR>\n" );
document.write( "a=2<BR>\n" );
document.write( "a^2=4<BR>\n" );
document.write( "Given coordinates of Foci: (1,-1±&#8730;5)=(1,-1±c)<BR>\n" );
document.write( "c=&#8730;5<BR>\n" );
document.write( "c^2=5<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "b^2=c^2-a^2=5-4=1<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(y+1)^2/4-(x-1)^2/1=1 </SPAN>\n" );
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