document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668323>Question 668323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the ellipse with center (-2,3) major axis vertical; length of major axis is 4; and length of minor axis is 1. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415449 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=415449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the equation of the ellipse with center (-2,3) major axis vertical; length of major axis is 4; and length of minor axis is 1<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for an ellipse with vertical major axis: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "given center: (-2,3)<BR>\n" );
document.write( "given length of vertical major axis=4=2a<BR>\n" );
document.write( "a=2<BR>\n" );
document.write( "a^2=4<BR>\n" );
document.write( "given length of minor axis=1=2b<BR>\n" );
document.write( "b=1/2<BR>\n" );
document.write( "b^2=1/4<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2%2F%281%2F4%29%2B%28y-3%29%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2%2F%281%2F4%29%2B%28y-3%29%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=4%28x%2B2%29%5E2%2B%28y-3%29%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"4%28x%2B2%29%5E2%2B%28y-3%29%5E2%2F4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );