document.write( "Question 1159533: Write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line. F(0,4), y = 0 \n" ); document.write( "
Algebra.Com's Answer #782582 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
vertex is at (0,2) and graph is concave upward.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x-0%29%5E2%2B%28y-4%29%5E2=%28x-x%29%5E2%2B%28y-0%29%5E2\", if used from Distance Formula for definition of parabola, or the problem description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%28y-4%29%5E2=y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2By%5E2-8y%2B16=y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-8y%2B16=0\"\r
\n" ); document.write( "\n" ); document.write( "\"-8y%2B16=-x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"8y-16=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%288%28y-2%29=x%5E2%29\", or other form if you need\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "
\n" );