document.write( "Question 1119530: Find the vertex, focus, length of latus rectum,and the equation of directrix of y^2 - 4y + 4x = 0 \n" ); document.write( "

Algebra.Com's Answer #735137 by josgarithmetic(39617) $\"\"$ $\"About$

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$\"y%5E2-4y%2B4x=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-4x=y%5E2-4y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-4x%2B4=y%5E2-4y%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight_green%28-4%28x-1%29=%28y-2%29%5E2%29\"$ -------horizontal axis of symmetry, parabola opens to the left; vertex is right-most point on the parabola.\r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( " $\"-4=4p\"$
\n" ); document.write( " $\"p=1\"$ ---------Directrix and focus both 1 unit away from the vertex.\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "VERTEX       (1,2)\r\n" );
document.write( "FOCUS         (0,2)\r\n" );
document.write( "DIRECTRIX    \r\n" );
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