document.write( "Question 134932This question is from textbook
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document.write( ": Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse or hyperbola. Then graph the equation.\r
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document.write( "9x^2-36x+36=4y^2+24y+72 \n" );
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Algebra.Com's Answer #98846 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse or hyperbola. Then graph the equation. \n" ); document.write( "9x^2-36x+36=4y^2+24y+72 \n" ); document.write( "Complete square on the x-terms and on the y-terms separately:\r \n" ); document.write( "\n" ); document.write( "9(x^2-4x+4) = 4(y^2+6y+9) + 36\r \n" ); document.write( "\n" ); document.write( "Divide thru by 36 to get: \n" ); document.write( "[(x-2)^2/4] - [(y-3)^2/9] = 1 \n" ); document.write( "------------------------------------ \n" ); document.write( "Hyperbola \n" ); document.write( "----------------------------------------- \n" ); document.write( "Can't graph it on this site; only functions can be graphed. \n" ); document.write( "The center of the hyperbola is (2,3) \n" ); document.write( "The hyperbola opens to the left and to the right \n" ); document.write( "The horizontal distance between the two vertices is 4 \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |