document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281498>Question 281498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please show me how to do the following question because I got it wrong. The circle x^2 + y^2 - 2x - 3 =0 is stretched horizontally by a factor of 2 to obtain an ellispe. What is the equation of this ellipse in general form.Please help and thank you for your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204497 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=204497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Could you please show me how to do the following question because I got it wrong. The circle x^2 + y^2 - 2x - 3 =0 is stretched horizontally by a factor of 2 to obtain an ellispe. What is the equation of this ellipse in general form.Please help and thank you for your time.\r<BR>\n" );
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document.write( "putting equation into standard form of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2+ ALIGN=MIDDLE  ALT=\"+%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where (h,k) is center of circle, and r is the radius<BR>\n" );
document.write( "x^2 + y^2 - 2x - 3 = 0<BR>\n" );
document.write( "x^2 - 2x + y^2 = 3<BR>\n" );
document.write( "x^2 - 2x + 1 + y^2 = 4 (added 1 to both sides to complete the square)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x+-+1%29%5E2+%2B+y%5E2+=+4+ ALIGN=MIDDLE  ALT=\"+%28x+-+1%29%5E2+%2B+y%5E2+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x+-+1%29%5E2+%2B+%28y+-+0%29%5E2+=+4+ ALIGN=MIDDLE  ALT=\"+%28x+-+1%29%5E2+%2B+%28y+-+0%29%5E2+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "center is (1,0) and radius is 2<BR>\n" );
document.write( "another way to write this would be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x+-+1%29%5E2%29%2F4+%2B+y%5E2%2F4+=+1+ ALIGN=MIDDLE  ALT=\"+%28%28x+-+1%29%5E2%29%2F4+%2B+y%5E2%2F4+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+b+=+r+=+2+ ALIGN=MIDDLE  ALT=\"+a+=+b+=+r+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now to stretch this cicle horizontally by a factor of 2 and write the equation of the ellipse<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%2Fa%5E2+%2B+y%5E2%2Fb%5E2+=+1+ ALIGN=MIDDLE  ALT=\"+x%5E2%2Fa%5E2+%2B+y%5E2%2Fb%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;\" > is the equation we want for the ellipse<BR>\n" );
document.write( "stretch horizontally by factor of 2 --> a=2 becomes a=4  --> now a^2=16<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x+-+1%29%5E2%29%2F16+%2B+y%5E2%2F4+=+1+ ALIGN=MIDDLE  ALT=\"+%28%28x+-+1%29%5E2%29%2F16+%2B+y%5E2%2F4+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and that is the equation of the ellipse\r<BR>\n" );
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document.write( " </SPAN>\n" );
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