document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35472>Question 35472</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534400329/algebrahomeworkh>algebra for college students</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this too, Please:\r<BR>\n" );
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document.write( "Find the vertices, the endpoints of the minor axis, and foci of the given ellipse, and sketch it's graph:\r<BR>\n" );
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document.write( "(x+5) squared + 4(y-4) squared = 16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21579 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%5E2+%2B+4%28y-4%29%5E2+=+16 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%5E2+%2B+4%28y-4%29%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides of the equation by 16 in order to set it equal to 1, which is standard form for an ellipse.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B5%29%5E2%29%2F16+%2B+%284%28y-4%29%5E2%29%2F16+=+16%2F16 ALIGN=MIDDLE  ALT=\"%28%28x%2B5%29%5E2%29%2F16+%2B+%284%28y-4%29%5E2%29%2F16+=+16%2F16\"   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=+%28%28x%2B5%29%5E2%29%2F16+%2B+%28%28y-4%29%5E2%29%2F4+=+1 ALIGN=MIDDLE  ALT=\"+%28%28x%2B5%29%5E2%29%2F16+%2B+%28%28y-4%29%5E2%29%2F4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From this the center of the ellipse will be at (-5,4), the major radius will be in the x direction with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=16 ALIGN=MIDDLE  ALT=\"a%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > so a = 4, and the minor radius will be in the y direction with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+=+4 ALIGN=MIDDLE  ALT=\"b%5E2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so b = 2.  Since for ellipses, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+b%5E2+%2B+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+=+b%5E2+%2B+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+4+%2Bc%5E2 ALIGN=MIDDLE  ALT=\"16+=+4+%2Bc%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so c = focal distance which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=+sqrt%2812%29+=+2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"c=+sqrt%2812%29+=+2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, applied in the x direction.\r<BR>\n" );
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document.write( "From that you should be able to sketch the graph and find the vertices, foci, and other information.\r<BR>\n" );
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document.write( "R^2 at SCC<BR>\n" );
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