document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=814449>Question 814449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Your help is greatly appreciated in solving this problem.  Thank you very much!\r<BR>\n" );
document.write( "\n" );
document.write( "Graph each ellipse by hand.  Give the domain and range.  Identify the center.  Do not use a calculator.\r<BR>\n" );
document.write( "\n" );
document.write( "(x + 3)2 over 16 + (y - 2)2 over 36 = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490511 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=490511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph each ellipse by hand. Give the domain and range. Identify the center. Do not use a calculator.<BR>\n" );
document.write( "(x + 3)2 over 16 + (y - 2)2 over 36 = 1<BR>\n" );
document.write( "***<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B3%29%5E2%2F16%29%2B%28y-2%29%5E2%2F36=1%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B3%29%5E2%2F16%29%2B%28y-2%29%5E2%2F36=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Standard form of equation for an ellipse with vertical major axis:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2Bh%29%5E2%2Fb%5E2%29%2B%28y-k%29%5E2%2Fa%5E2=1%29 ALIGN=MIDDLE  ALT=\"%28%28x%2Bh%29%5E2%2Fb%5E2%29%2B%28y-k%29%5E2%2Fa%5E2=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "a^2=36<BR>\n" );
document.write( "a=&#8730;36=6<BR>\n" );
document.write( "b^2=16<BR>\n" );
document.write( "b=&#8730;16=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "center: (-3,2)<BR>\n" );
document.write( "domain: (-7,1)<BR>\n" );
document.write( "range: (-4,8)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2836-%289%2F4%29%2A%28x%2B3%29%5E2%29%5E.5%2B2 ALIGN=MIDDLE  ALT=\"y=%2836-%289%2F4%29%2A%28x%2B3%29%5E2%29%5E.5%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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%2836-%289%2F4%29%2A%28x%2B3%29%5E2%29%5E.5%2B2%2C-%2836-%289%2F4%29%2A%28x%2B3%29%5E2%29%5E.5%2B2%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );