document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028772>Question 1028772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help me with writing a conic equation in standard form for a hyperbola with vertices at (1,6) and (1,-2) and asymptotes at y=(4/3)x+2/3 and y=(-4/3)x+10/3.  I would appreciate any help!!!   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643923 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The transverse axis should be parallel to the y-axis, and the center is at the point (1,2), the midpoint of the vertices (1,6) and (1,-2).\r<BR>\n" );
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document.write( "The standard form is then given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-2%29%5E2%2Fa%5E2+-+%28x-1%29%5E2%2Fb%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28y-2%29%5E2%2Fa%5E2+-+%28x-1%29%5E2%2Fb%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<==> y-2 = +/- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29sqrt%28b%5E2%2B%28x-1%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28a%2Fb%29sqrt%28b%5E2%2B%28x-1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For very large positive/negative x-values, \r<BR>\n" );
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document.write( "y-2 = +/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%28a%2Fb%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  (Suppress <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2 ALIGN=MIDDLE  ALT=\"b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "==> y = +/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%28a%2Fb%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2.\r<BR>\n" );
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document.write( "y = +/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%284%2F3%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2.\r<BR>\n" );
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document.write( "Hence let a = 4 and b = 3, and the standard form is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-2%29%5E2%2F16+-+%28x-1%29%5E2%2F9+=+1 ALIGN=MIDDLE  ALT=\"%28y-2%29%5E2%2F16+-+%28x-1%29%5E2%2F9+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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