document.write( "Question 710284: Please state the coordinates of the vertex.
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document.write( "12y+x^2-4x=-16\r
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Algebra.Com's Answer #436987 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Please state the coordinates of the vertex. \n" ); document.write( "12y+x^2-4x=-16 \n" ); document.write( "x^2-4x=-12y-16 \n" ); document.write( "complete the square: \n" ); document.write( "(x^2-4x+4)=-12y-16+4 \n" ); document.write( "(x-2)^2=-12y-12 \n" ); document.write( "(x-2)^2=-12(y+1) \n" ); document.write( "This is an equation of a parabola that opens down. \n" ); document.write( "Its standard form: (x-h)^2=-4p(y-k)^2, (h,k)=(x,y) coordinates of the vertex \n" ); document.write( "For given equation:12y+x^2-4x=-16 \n" ); document.write( "vertex: (2,-1) \n" ); document.write( " |