document.write( "Question 198155: identify and graph 2 2
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document.write( " 4(x+1) +9(y-1) =36\r
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document.write( "I know its an ellipse but i cant graph it out right. \n" );
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Algebra.Com's Answer #148622 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 4(x+1)^2 + 9(y-1)^2 = 36 \n" ); document.write( "---- \n" ); document.write( "Convert to standard form: \n" ); document.write( "[(x+1)^2]/9 + [(y-1)^2]/4 = 1 \n" ); document.write( "--------------------- \n" ); document.write( "Do you see that the center is at (-1,1) ? \n" ); document.write( "---- \n" ); document.write( "Do you see that the semi-major axis is sqrt(9) = 3 \n" ); document.write( "so the right-most vertex is at (2,1) and the left-most \n" ); document.write( "vertex is at (-4,1) ? \n" ); document.write( "----- \n" ); document.write( "Do you see that the semi-minor axis is sqrt(4) = 2 \n" ); document.write( "so the top vertex is at (-1,3) and the bottom vertex \n" ); document.write( "is at (-1,-1) ? \n" ); document.write( "======================= \n" ); document.write( "If you see all that, you can sketch the ellipse. \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |