document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459114>Question 459114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do I graph 25(x+4)^2 + (y-3)^2 =25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316899 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=316899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how do I graph 25(x+4)^2 + (y-3)^2 =25<BR>\n" );
document.write( "..<BR>\n" );
document.write( "25(x+4)^2 + (y-3)^2 =25<BR>\n" );
document.write( "divide by 25<BR>\n" );
document.write( "(x+4)^2 + (y-3)^2/25 =1<BR>\n" );
document.write( "This equation is an ellipse with a vertical major axis. (second form listed below)<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( "for given problem:<BR>\n" );
document.write( "center: (-4,3)<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( "vertices: (-4,3±a)=(-4,3±5)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=1<BR>\n" );
document.write( "b=1<BR>\n" );
document.write( "length of minor axis=2b=2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "See graph below as a visual check on the answers.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=(25-25(x+4)^2)^.5+3\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+-6%2C+6%2C+-10%2C+10%2C%2825-25%28x%2B4%29%5E2%29%5E.5%2B3%2C-%2825-25%28x%2B4%29%5E2%29%5E.5%2B3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );