document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393024>Question 393024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find the extent of the graph of a hyperbola in both forms? (x^2/a^2 - y^2/b^2 = 1, and y^2/a^2 - x^2/b^2 = 1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284695 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=284695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you find the extent of the graph of a hyperbola in both forms? (x^2/a^2 - y^2/b^2 = 1, and y^2/a^2 - x^2/b^2 = 1)<BR>\n" );
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document.write( "What you have listed are the 2 standard forms of an hyperbola.<BR>\n" );
document.write( "The first form, when the x^2 term is listed first, the transverse axis is horizontal, that is, it opens sideways. Conversely, when the y^2 term is listed first, the transverse axis opens upwards. Other important information which you will need to graph a hyperbola can be found in any algebra textbook. They are listed below for the second type (y^2 term first) of hyperbolas with centers at (0,0).\r<BR>\n" );
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document.write( "Foci(0+-c),c^2=a^2+b^2<BR>\n" );
document.write( "Vertices (0+-a)<BR>\n" );
document.write( "Asymptotes y==-(a/b)x<BR>\n" );
document.write( "Length of transverse axis (2a)<BR>\n" );
document.write( "Length of conjugate axis (2b)<BR>\n" );
document.write( "Eccentricity e=c/a<BR>\n" );
document.write( "a>b,a=b,or a less than b\r<BR>\n" );
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