document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=593582>Question 593582</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation for a hyperbola with vertices (2,0) and (-2,0) and asymptote y=1/2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376698 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=376698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation for a hyperbola with vertices (2,0) and (-2,0) and asymptote y=1/2x<BR>\n" );
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document.write( "Standard form of equation for a hyperbola with horizontal transverse axis:<BR>\n" );
document.write( "(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "length of transverse axis=4 (-2 to 2)=2a<BR>\n" );
document.write( "a=2<BR>\n" );
document.write( "a^2=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Slope of asymptote=1/2=b/a<BR>\n" );
document.write( "2b=a<BR>\n" );
document.write( "b=a/2=2/2=1<BR>\n" );
document.write( "b^2=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x^2/4-y^2/1=1\r<BR>\n" );
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document.write( " </SPAN>\n" );
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