document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933208>Question 933208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What does a graph of an ellipse with vertices (-2,6) and (-2,16); focus (-2,14) look like? State center, co-vertices, and foci.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566707 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=566707\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What does a graph of an ellipse with vertices (-2,6) and (-2,16); focus (-2,14) look like? State center, co-vertices, and foci. <BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given ellipse has a vertical major axis.<BR>\n" );
document.write( "Its standard form of equation:<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)=coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "x-coordinate of center=-2<BR>\n" );
document.write( "y-coordinate of center=11 (midpoint of y=6 and y=16 on the vertical major axis<BR>\n" );
document.write( "center(-2,11)<BR>\n" );
document.write( "a=5 (distance from center to vertices)<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "c=3<BR>\n" );
document.write( "c^2=9<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-3^2=25-9=16<BR>\n" );
document.write( "equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2%2F16%2B%28y-11%29%5E2%2F25=1 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2%2F16%2B%28y-11%29%5E2%2F25=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "y=(25(1-(x+2)^2/16))^.5-11<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-20%2C+20%2C+-20%2C+20%2C%2825%281-%28x%2B2%29%5E2%2F16%29%29%5E.5-11%2C-%2825%281-%28x%2B2%29%5E2%2F16%29%29%5E.5-11%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );