document.write( "Question 828973: Find the equation of the parabola with vertex at origin and directrix as y+3=0 \n" ); document.write( "

Algebra.Com's Answer #499600 by Fombitz(32388) $\"\"$ $\"About$

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The standard form is $\"%28x+-+h%29%5E2+=+4p+%28y+-+k%29\"$ and the directrix is $\"y+=+k+-+p\"$ .\r
\n" ); document.write( "\n" ); document.write( "The standard form of a parabola is:
\n" ); document.write( " $\"%28x+-+h%29%5E2+=+4p+%28y+-+k%29\"$
\n" ); document.write( "where (h,k) is the vertex.
\n" ); document.write( " $\"x%5E2+=+4py\"$
\n" ); document.write( "The directrix is
\n" ); document.write( " $\"y+=+k+-+p=-3\"$
\n" ); document.write( " $\"0-p=-3\"$
\n" ); document.write( " $\"p=3\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"x%5E2+=+4py\"$
\n" ); document.write( " $\"x%5E2+=+12y\"$
\n" ); document.write( " $\"highlight%28y=%281%2F12%29x%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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