document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544552>Question 544552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I have been staring at this problem for about an hour . could you please help me ?\r<BR>\n" );
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document.write( "It's (x+2)^2/9 + (y+2)^2/4 = 1 \r<BR>\n" );
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document.write( "I am suppose to sketch the ellipse which I will be able to do on my own, but I just don't know how to find the numbers..\r<BR>\n" );
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document.write( "If you could help me, I would appreciate it so much ! \r<BR>\n" );
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document.write( "Thaaaaank you :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355143 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=355143\">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%2B2%29%5E2%2F9+%2B+%28y%2B2%29%5E2%2F4+=+1+ ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2%2F9+%2B+%28y%2B2%29%5E2%2F4+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Think of it this way:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > represents a circle centered at (0,0) with radius 1.<BR>\n" );
document.write( "(You can see that the formula says that the distance to the center is 1).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2+%2B+%28y%2B2%29%5E2+=+1+ ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2+%2B+%28y%2B2%29%5E2+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > would represent a circle centered at (-2,-2) with radius 1.<BR>\n" );
document.write( "Stretching the drawing in the x and y directions to the same extent you would get a bigger circle with the same center:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2%2F9+%2B+%28y%2B2%29%5E2%2F9+=+1+ ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2%2F9+%2B+%28y%2B2%29%5E2%2F9+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2+%2B+%28y%2B2%29%5E2+=+9+ ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2+%2B+%28y%2B2%29%5E2+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2+%2B+%28y%2B2%29%5E2+=+3%5E2+ ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2+%2B+%28y%2B2%29%5E2+=+3%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > would represent a circle centered at (-2,-2) with radius 3. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2%2F4+%2B+%28y%2B2%29%5E2%2F4+=+1+ ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2%2F4+%2B+%28y%2B2%29%5E2%2F4+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2+%2B+%28y%2B2%29%5E2+=+4+ ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2+%2B+%28y%2B2%29%5E2+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2+%2B+%28y%2B2%29%5E2+=+2%5E2+ ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2+%2B+%28y%2B2%29%5E2+=+2%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > would represent a circle centered at (-2,-2) with radius 2.<BR>\n" );
document.write( "Your ellipse is a stretched circle, symmetrical about axes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It's only that the guy stretching in the x direction was pulling harder.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (substitute and see) at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "It crosses axis <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+3 ALIGN=MIDDLE  ALT=\"x=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+-+3 ALIGN=MIDDLE  ALT=\"x=+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-5.3%2C+1.3%2C+-4.2%2C+0.2%2C+2sqrt%281-%28x%2B2%29%5E2%2F9%29-2%2C+-2sqrt%281-%28x%2B2%29%5E2%2F9%29-2%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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