document.write( "Question 1038132: equation of a parabola with a focus of (0,3) and a directrix of y=-3 \n" ); document.write( "
Algebra.Com's Answer #652861 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! equation of a parabola with a focus of (0,3) and a directrix of y=-3 \n" ); document.write( "------------- \n" ); document.write( "All points on the parabola are equidistant from (0,3) the y = -3 \n" ); document.write( "---- \n" ); document.write( "For point (x,y) \n" ); document.write( "d = sqrt((y-3)^2 + x^2) = y+3 \n" ); document.write( "Square both sides \n" ); document.write( "(y-3)^2 + x^2 = y^2 + 6y + 9 \n" ); document.write( "y^2-6y+9 + x^2 = y^2+6y+9 \n" ); document.write( "x^2 = 12y \n" ); document.write( "y = x^2/12 \n" ); document.write( " \n" ); document.write( " |