document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74533>Question 74533</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078279992/algebrahomeworkh>Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I just submitted this problem, but I think I figured it out! Can someone tell me if this is correct?\r<BR>\n" );
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document.write( "Write an equation for an ellipse if the endpoints of the major axis are at (1,6) and (1,-6) and the endpoints of the minor axis are at (5,0) and (-3,0).\r<BR>\n" );
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document.write( "The length of the major axis would be 12 units. 2a=12. a=6.\r<BR>\n" );
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document.write( "The length of the minor axis is 8 units. 2b=8. b=4.\r<BR>\n" );
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document.write( "The equation for an ellipse is y^2/a^2 + x^2/b^2=1. \r<BR>\n" );
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document.write( "So the answer would be y^2/36 + x^2/16=1.\r<BR>\n" );
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document.write( "Can someone please tell me if I did this right? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53499 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=53499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for an ellipse if the endpoints of the major axis are at (1,6) and (1,-6) and the endpoints of the minor axis are at (5,0) and (-3,0).\r<BR>\n" );
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document.write( "The length of the major axis would be 12 units. 2a=12. a=6.\r<BR>\n" );
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document.write( "The length of the minor axis is 8 units. 2b=8. b=4.\r<BR>\n" );
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document.write( "You're right up to here, but this ellipse is not centered at the origin (0,0).<BR>\n" );
document.write( "Notice that the x coordinate of the end points of the major axis is 1.  <BR>\n" );
document.write( "The y coordinate of the end points of the minor axis is 0.<BR>\n" );
document.write( "That means that the center is (1,0).  <BR>\n" );
document.write( "This can be seen if you draw your ellipse.<BR>\n" );
document.write( "The formula for an ellipse with a vertical major axis is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "major axis=2a<BR>\n" );
document.write( "minor axis=2b<BR>\n" );
document.write( "Center=(h,k)<BR>\n" );
document.write( "You found that a=6 and b=4 and now you know that (h,k)=(1,0)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2F4%5E2%2B%28y-0%29%5E2%2F6%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2F4%5E2%2B%28y-0%29%5E2%2F6%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-1%29%5E2%2F16%2By%5E2%2F36=1%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-1%29%5E2%2F16%2By%5E2%2F36=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!!! </SPAN>\n" );
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