document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752171>Question 752171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	The equation of an ellipse is given by (x+2)^2/49 + (y-4)^2/25=1  .<BR>\n" );
document.write( "a.)	Identify the coordinates of the center of the ellipse.<BR>\n" );
document.write( "b.)	Find the lengths of the major and minor axes.<BR>\n" );
document.write( "c.)	Graph the ellipse.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457860 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=457860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.	The equation of an ellipse is given by (x+2)^2/49+(y-4)^2/25=1.<BR>\n" );
document.write( "Given ellipse has a horizontal 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%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a.)	Identify the coordinates of the center of the ellipse.<BR>\n" );
document.write( "center: (-2,4)<BR>\n" );
document.write( "b.)	Find the lengths of the major and minor axes.<BR>\n" );
document.write( "a^2=49<BR>\n" );
document.write( "a=&#8730;49=7<BR>\n" );
document.write( "length of major axis=2a=14<BR>\n" );
document.write( "b^2=25<BR>\n" );
document.write( "b=5<BR>\n" );
document.write( "length of minor axis=2b=10\r<BR>\n" );
document.write( "\n" );
document.write( "c.)	Graph the ellipse<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "(25-25(x+2)^2/49)^.5+4\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%2825-25%28x%2B2%29%5E2%2F49%29%5E.5%2B4%2C-%2825-25%28x%2B2%29%5E2%2F49%29%5E.5%2B4%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );