document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968831>Question 968831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the standard form of the ellipse 4x^2+y^2-2y=15? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591961 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=591961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "the standard form equation of an ellipse is\r<BR>\n" );
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document.write( "a. if the major axis of this ellipse is horizontal:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > where  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3Eb ALIGN=MIDDLE  ALT=\"a%3Eb\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "b. if the major axis of this ellipse is vertical:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fb%5E2%2By%5E2%2Fa%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fb%5E2%2By%5E2%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3Eb ALIGN=MIDDLE  ALT=\"a%3Eb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the standard form equation  for the translation(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >) of an ellipse is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "you are given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2By%5E2-2y=15 ALIGN=MIDDLE  ALT=\"4x%5E2%2By%5E2-2y=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, complete squares\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B%28y%5E2-2y%2B_%29-_=15 ALIGN=MIDDLE  ALT=\"4x%5E2%2B%28y%5E2-2y%2B_%29-_=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2F4%2B%28y%5E2-2y%2B1%5E2%29%2F4-1%5E2%2F4=15%2F4 ALIGN=MIDDLE  ALT=\"4x%5E2%2F4%2B%28y%5E2-2y%2B1%5E2%29%2F4-1%5E2%2F4=15%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%281%2F4%29%28y%5E2-2y%2B1%29-1%2F4=15%2F4 ALIGN=MIDDLE  ALT=\"x%5E2%2B%281%2F4%29%28y%5E2-2y%2B1%29-1%2F4=15%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-0%29%5E2%2B%281%2F4%29%28y-1%29%5E2=15%2F4%2B1%2F4 ALIGN=MIDDLE  ALT=\"%28x-0%29%5E2%2B%281%2F4%29%28y-1%29%5E2=15%2F4%2B1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-0%29%5E2%2B%281%2F4%29%28y-1%29%5E2=16%2F4 ALIGN=MIDDLE  ALT=\"%28x-0%29%5E2%2B%281%2F4%29%28y-1%29%5E2=16%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-0%29%5E2%2B%281%2F4%29%28y-1%29%5E2=4 ALIGN=MIDDLE  ALT=\"%28x-0%29%5E2%2B%281%2F4%29%28y-1%29%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........both sides divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-0%29%5E2%2F4%2B%281%2F4%29%28y-1%29%5E2%2F4=4%2F4 ALIGN=MIDDLE  ALT=\"%28x-0%29%5E2%2F4%2B%281%2F4%29%28y-1%29%5E2%2F4=4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-0%29%5E2%2F4%2B%281%2F16%29%28y-1%29%5E2=1%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-0%29%5E2%2F4%2B%281%2F16%29%28y-1%29%5E2=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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