document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=456942>Question 456942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the equation and identify the specified parts (x-2)^2/9+(y-1)^2/25=1?<BR>\n" );
document.write( "Find the<BR>\n" );
document.write( "Vertices: <BR>\n" );
document.write( "Co- vertices: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313708 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=313708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the equation and identify the specified parts (x-2)^2/9+(y-1)^2/25=1?<BR>\n" );
document.write( "Find the<BR>\n" );
document.write( "Vertices: <BR>\n" );
document.write( "Co- vertices:<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Standard form of ellipse with horizontal major axis: (x-h)^2/a^2+(y-k)^2/b^2=1, (a>b), with (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "Standard form of ellipse with vertical major axis: (x-h)^2/b^2+(y-k)^2/a^2=1, (a>b), with (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "The difference between the two forms is the interchange of a^2 and b^2.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(x-2)^2/9+(y-1)^2/25=1<BR>\n" );
document.write( "Center at (2,1), with a vertical major axis.(Second form listed above)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "a=5<BR>\n" );
document.write( "length of major axis=2a=10<BR>\n" );
document.write( "end points of major axis, (2,1±5)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "b=3<BR>\n" );
document.write( "length of co-vertices or minor axis=2b=6<BR>\n" );
document.write( "end points of minor axis, (2±3,1)<BR>\n" );
document.write( "see graph below as a visual check on answers:<BR>\n" );
document.write( "note the center and lengths of the minor and major axes and their end points<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=(25-25(x-2)^2/9)^.5+1<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );