document.write( "Question 32653: Can someone explain to me how to graph (x+2)²/9+(y-3)²/4=1 and other ellipses and how to find the equation of an ellipse from its graph? \n" ); document.write( "
Algebra.Com's Answer #19177 by venugopalramana(3286)\"\" \"About 
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EQN.OF ELLIPSE IS ….(X+2)^2/9 +(Y-3)^2/4 = 1………….I
\n" ); document.write( "STD.EQN.OF ELLIPSE IS
\n" ); document.write( "(X-H)^2/A^2 + (Y-K)^2/B^2=1…………………..II………….COMPARING WITH ABOVE EQN.I
\n" ); document.write( "WHERE H,K IS CENTRE...SO H=-2 AND K=3 HENCE CENTRE IS (-2,3)..
\n" ); document.write( "A^2=9….OR……A=-3…. AND…….A =+3
\n" ); document.write( "B^2=4….OR……B=-2….AND….B=+2
\n" ); document.write( "MINOR AXIS =2B=4…
\n" ); document.write( "MAJOR AXIS =2A=6
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\n" ); document.write( "NOW TO PLOT THE ELLIPSE YOU NEED
\n" ); document.write( "1.CENTRE COORDINATES…HERE THEY ARE (-2,3)
\n" ); document.write( "2.LENGTHS OF AXES….HERE…..6 AND 4.
\n" ); document.write( "3.EQNS.OF AXES…..MINOR AXIS IS…….X=H…OR…X=-2….OR…X+2=0
\n" ); document.write( "MAJOR AXIS IS …….Y=K…..OR……Y=3….OR……..Y-3=0
\n" ); document.write( "HAVING FOUND THE REQUIRED DATA,TAKE A SUITABLE SCALE…SAY 1 CM=1 UNIT OR SO AND PLOT
\n" ); document.write( "1.MARK ORIGIN…O,X AXIS AND Y AXIS
\n" ); document.write( "2.PLOT CENTRE (-2,3)…CALL IT C
\n" ); document.write( "3.DRAW MAJOR AXIS Y-3=0…THIS IS A LINE THROUGH CENTRE PARALLEL TO X AXIS
\n" ); document.write( "4.DRAW MINOR AXIS X+2=0….THIS IS A LINE THROUGH THE CENTRE PARALLEL TO Y AXIS.
\n" ); document.write( "5.MARK MAJOR AXIS LENGTH OF 6 ALONG THE MAJOR AXIS PLOTTED ABOVE….TAKING 3 UNITS ON EITHER SIDE OF CENTRE.CALL IT AA'
\n" ); document.write( "6.MARK MINOR AXIS LENGTH OF 4 ALONG THE MINOR AXIS PLOTTED ABOVE…TAKING 2 UNITS ON EITHER SIDE OF CENTRE.CALL IT BB'
\n" ); document.write( "7.ELLIPSE PASSES THROUGH A,A',B AND B'.JOIN THEM SMOOTHLY BY A SMOOTH ELLIPTICAL CURVE.
\n" ); document.write( "8.IF YOU NEED YOU CAN PLOT ADDITIONAL POINTS BY GIVING ARBITRARY VALUES FOR X AND FINDING CORRESPONDING VALUE OF Y
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\n" ); document.write( "THE SAME PROCEDURE YOU CAN REVERSE TO FIND THE EQN.OF AN ELLIPSE FROM THE GRAPH
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