document.write( "Question 166883: PLEASE HELP!!!
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document.write( "Write an equation for the parabola with focus (4,0) and directrix y=2
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document.write( "I must show my work.
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document.write( "Thanks \n" );
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Algebra.Com's Answer #123004 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! a general form for the equation of a parabola is __ (x-h)^2=4p(y-k) \n" ); document.write( "__ where (h,k) is the vertex and p is the distance from the vertex to the focus\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the vertex is midway between the focus and the directrix \n" ); document.write( "__ in this case, (4,1) \n" ); document.write( "__ so p=-1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation would be (x-4)^2=-4(y-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solving for y gives y=(-1/4)(x-4)^2 + 1 \n" ); document.write( " |