document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860236>Question 860236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the hyperbola that meets the following conditions: <BR>\n" );
document.write( "the vertices are at (-2,-3) and (6,-3) <BR>\n" );
document.write( "foci is at (-4,-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518313 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=518313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The question is most comfortably answered using knowledge of standard form for a hyperbola.\r<BR>\n" );
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document.write( "The subtraction is on the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > term, as indicated by the line containing the vertices.\r<BR>\n" );
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document.write( "Center is (2,-3).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%286-%28-2%29%29%2F2=4 ALIGN=MIDDLE  ALT=\"a=%286-%28-2%29%29%2F2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "c is how far from center to the focus; <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=2-%28-4%29=6 ALIGN=MIDDLE  ALT=\"c=2-%28-4%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The way that a, b, and c are related is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=c%5E2-a%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=c%5E2-a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=36-16 ALIGN=MIDDLE  ALT=\"b%5E2=36-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=20 ALIGN=MIDDLE  ALT=\"b%5E2=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to be used just as that.\r<BR>\n" );
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document.write( "Fill the numeric information into standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-2%29%5E2%2F16-%28y%2B3%29%5E2%2F20=1%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-2%29%5E2%2F16-%28y%2B3%29%5E2%2F20=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check your textbook for discussion about the details; or also check the article, <a  rel=nofollow HREF=\"http://en.wikipedia.org/wiki/Hyperbola\">http://en.wikipedia.org/wiki/Hyperbola</a>  </SPAN>\n" );
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