document.write( "Question 314229: Find the focus, directrix, and focal diameter of the parabola.
\n" ); document.write( "9x + 7y2 = 0
\n" ); document.write( "focus (x, y) =
\n" ); document.write( "directrix
\n" ); document.write( "focal diameter
\n" ); document.write( "graph: \n" ); document.write( "

Algebra.Com's Answer #224627 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"9x+%2B+7y%5E2+=+0\"$
\n" ); document.write( " $\"9x+%2B+7y2+=+0\"$
\n" ); document.write( " $\"9x=-7y%5E2\"$
\n" ); document.write( " $\"x=-%287%2F9%29y%5E2\"$
\n" ); document.write( "Compare to general equation of a parabola,
\n" ); document.write( " $\"4px=y%5E2\"$
\n" ); document.write( " $\"x=%281%2F%284p%29%29y%5E2\"$
\n" ); document.write( " $\"1%2F%284p%29=-7%2F9\"$
\n" ); document.write( " $\"4p=-9%2F7\"$
\n" ); document.write( " $\"p=-9%2F28\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"p\"$ is the distance from the focus to the vertex.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "The vertex is at ( $\"0\"$ , $\"0\"$ ).
\n" ); document.write( "The focus is ( $\"-9%2F28\"$ , $\"0\"$ ).
\n" ); document.write( "The x coordinate of the directrix is the same distance from the vertex in the opposite direciton.
\n" ); document.write( "The directrix is $\"x=9%2F28\"$ \r
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( "

\n" );