document.write( "Question 287712: Use the distance formula to find the equation of a parabola with focus F(4,0) and directrix x= -3. \n" ); document.write( "
Algebra.Com's Answer #208480 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Use the distance formula to find the equation of a parabola with focus F(4,0) and directrix x= -3. \n" ); document.write( "--------------------------- \n" ); document.write( "Find the equation relating to all points (x,y) \n" ); document.write( "that are equidistance from (4,0) and (-3,y). \n" ); document.write( "--------------------------- \n" ); document.write( "sqrt[(x-4)^2 + y^2] = sqrt[(x+3)^2 + 0] \n" ); document.write( "------------------------------- \n" ); document.write( "x^2-8x+16 + y^2 = x^2+6x+9 \n" ); document.write( "-8x + 16 + y^2 = 6x+9 \n" ); document.write( "-14x + y^2 = -7 \n" ); document.write( "14x = y^2 + 7 \n" ); document.write( "x = (1/14)y^2 + (1/2) \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |