document.write( "Question 1121357: Find the standard form of the parabola, where the vertex is (3, 2),
\n" ); document.write( " and the directrix is x = 1. \n" ); document.write( "

Algebra.Com's Answer #737221 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The directrix is the vertical line x=1, and the vertex is (3,2). So the parabola opens to the right.

\n" ); document.write( "One standard form of the equation is

\n" ); document.write( " $\"x-h+=+%281%2F%284p%29%29%28y-k%29%5E2\"$

\n" ); document.write( "where the vertex is (h,k) and p is the distance from the vertex to the directrix and from the vertex to the focus.

\n" ); document.write( "In this example, the vertex is 2 to the right of the directrix, so p=2. Then the equation is

\n" ); document.write( " $\"x-3+=+%281%2F8%29%28y-2%29%5E2\"$ \n" ); document.write( "

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