document.write( "Question 609994: Graph the ellipses
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document.write( "49((y-2)^2-1)=-(x+3)^2 \n" );
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Algebra.Com's Answer #384277 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Graph the ellipses \n" ); document.write( "49((y-2)^2-1)=-(x+3)^2 \n" ); document.write( "49(y-2)^2-49=-(x+3)^2 \n" ); document.write( "49(y-2)^2+(x+3)^2=49 \n" ); document.write( "divide by 49 \n" ); document.write( "(y-2)^2+(x+3)^2/49=1 \n" ); document.write( "(x+3)^2/49+(y-2)^2=1 \n" ); document.write( "This is an equation of an ellipse with horizontal major axis. \n" ); document.write( "Its standard form: (x-h)^2/a^2+(y-k)^2/b^2=1,a>b, (h,k)=(x,y) coordinates of center \n" ); document.write( "For given equation: \n" ); document.write( "center: (-3,2) \n" ); document.write( "a^2=49 \n" ); document.write( "a=√49=7 \n" ); document.write( "length of horizontal major axis=2a=14 \n" ); document.write( ".. \n" ); document.write( "b^2=1 \n" ); document.write( "b=1 \n" ); document.write( "length of minor axis=2b=2 \n" ); document.write( ".. \n" ); document.write( "see graph below: \n" ); document.write( "y=±(1-(x+3)^2/49)^.5\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |