document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116896>Question 1116896</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of the ellipse with the given characteristics?\r<BR>\n" );
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document.write( "Foci: (0, 0) and (4, 0)<BR>\n" );
document.write( "Major Axis of length 8 </SPAN>\n" );
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document.write( "(1) The foci are on the major axis, equidistant from the center of the ellipse.  So the center of the ellipse is (2,0).<br><BR>\n" );
document.write( "(2) Major axis in the x direction with center (2,0) makes the standard form of the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2Fa%5E2%2B%28y-0%29%5E2%2Fb%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2Fa%5E2%2B%28y-0%29%5E2%2Fb%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(3) Major axis length 8 makes a=4.<br><BR>\n" );
document.write( "(4) Distance from center to each focus is c=2, where c^2 = a^2-b^2.  With c^2=4 and a^2=16, b^2=12.<br><BR>\n" );
document.write( "The equation in standard form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2F16%2B%28y%29%5E2%2F12+=+1 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2F16%2B%28y%29%5E2%2F12+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br> </SPAN>\n" );
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