document.write( "Question 754005: what is the equation of the parabola whose vertex = (4,-6) and focus is (6, -6) \n" ); document.write( "
Algebra.Com's Answer #467960 by DSMLMD(16)![]() ![]() You can put this solution on YOUR website! Vertex (4,-6) and Focus at (6,-6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Because the y-vertex and y-focus is same, the equation of parabola is: \n" ); document.write( "(y - b)^2 = 4p(x - a)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Vertex: \n" ); document.write( "(4,-6) \n" ); document.write( "(a,b)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Focus Point: \n" ); document.write( "(6,-6) \n" ); document.write( "((p+a),b)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If \n" ); document.write( "b = -6 \n" ); document.write( "a = 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then, \n" ); document.write( "p + a \n" ); document.write( "6 = p + 4 \n" ); document.write( "2 = p\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the parabola equation is: \n" ); document.write( "(y - b)^2 = 4p(x - a) \n" ); document.write( "(y - (-6))^2 = 4(2)(x - 4) \n" ); document.write( "(y + 6)^2 = 8(x - 4) \n" ); document.write( " |