document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=735422>Question 735422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a question on Hyperbolas. This is what I think I know so far, Orientation=Horizontal, Center=(0,0), a=7, b=5,c=8.602     The equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2F%2825%29-%28y%5E2%29%2F%2849%29=1 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F%2825%29-%28y%5E2%29%2F%2849%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449453 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=449453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2F%2825%29-%28y%5E2%29%2F%2849%29=1 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F%2825%29-%28y%5E2%29%2F%2849%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of a hyperbola with horizontal transverse axis.<BR>\n" );
document.write( "Its standard form:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2-%28y-k%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 equation:<BR>\n" );
document.write( "center:(0,0)<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "a=5<BR>\n" );
document.write( "b^2=49<BR>\n" );
document.write( "b=7<BR>\n" );
document.write( "c^2=a^2+b^2=25+49=74<BR>\n" );
document.write( "c=&#8730;74&#8776;8.60<BR>\n" );
document.write( "You got everything right except a and b which you had in reverse.<BR>\n" );
document.write( "For hyperbolas, a and b don't change positions like in ellipses<BR>\n" );
document.write( "For hyperbolas with vertical transverse axis, the y-term is placed ahead of the x-term, but a and b remain in the same position as that for a hyperbola with horizontal transverse axis </SPAN>\n" );
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