document.write( "Question 703791: A conic section has the equation x^2-6x-y^2+4y-4=0. Which one of the following is true?
\n" );
document.write( "1) the equation is a parabola with its vertex at (3,2).
\n" );
document.write( "2) the equation is a circle with its center at (3,2)
\n" );
document.write( "3) the equation is a hyperbola with one vertex at (0,2)
\n" );
document.write( "4) the radius is 2 \n" );
document.write( "
Algebra.Com's Answer #433693 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A conic section has the equation x^2-6x-y^2+4y-4=0. Which one of the following is true? \n" ); document.write( "------- \n" ); document.write( "Complete the square on the x-terms and on the y-terms: \n" ); document.write( "x^2-6x+? - (y^2-4y + ?) = -4 \n" ); document.write( "--- \n" ); document.write( "x^2 -6x + 9 - (y^2-4y+4) = -4+9-4 \n" ); document.write( "Factor: \n" ); document.write( "(x-3)^2 - (y-2)^2 = 1 \n" ); document.write( "-------------------------------------- \n" ); document.write( "Ans: The equation is a hyperbola with center at (3,2) \n" ); document.write( "----------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |