document.write( "Question 134932This question is from textbook
\n" ); 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
\n" ); document.write( "\n" ); document.write( "9x^2-36x+36=4y^2+24y+72
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Algebra.Com's Answer #98846 by stanbon(75887)\"\" \"About 
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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
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\n" ); document.write( "Hyperbola
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\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
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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