document.write( "Question 546684: Given the focus of the parabola (0,-6), and the directirx y=6, find the equation of the parabola. \n" ); document.write( "
Algebra.Com's Answer #356953 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Given the focus of the parabola (0,-6), and the directirx y=6, find the equation of the parabola. \n" ); document.write( "** \n" ); document.write( "Since the focus is below the directrix on the axis of symmetry,(x=0), this is a parabola which opens downward. Its standard form of equation: (x-h)^2=-4p(y-k), (h,k) being the (x,y) coordinates of the vertex: \n" ); document.write( ".. \n" ); document.write( "For given parabola: \n" ); document.write( "y-coordinate of vertex=half-way between directrix and focus on axis of symmetry=0 \n" ); document.write( "x-coordinate of vertex=0 \n" ); document.write( "vertex: (0,0) \n" ); document.write( "p=distance from vertex to focus or to directrix on the axis of symmetry=6 \n" ); document.write( "Equation of given parabola: \n" ); document.write( "(x-0)^2=-4p(y-0) \n" ); document.write( "x^2=-24y (ans) \n" ); document.write( " |