document.write( "Question 326333: Can you show me how to get the equation of a parabola with a focus(0,8) and the directrix y=0? \n" ); document.write( "

Algebra.Com's Answer #233697 by Fombitz(32388) $\"\"$ $\"About$

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The vertex lies halfway between the focus and the directrix.
\n" ); document.write( "The vertex is then (0,4).
\n" ); document.write( "Use the focus-vertex form of a parabola,
\n" ); document.write( " $\"4p%28y-k%29=%28x-h%29%5E2\"$
\n" ); document.write( " $\"p\"$ is the distance from the focus to the vertex
\n" ); document.write( " $\"p=4\"$
\n" ); document.write( " $\"4%284%29%28y-4%29=%28x-0%29%5E2\"$
\n" ); document.write( " $\"y-4=%281%2F16%29x%5E2\"$
\n" ); document.write( " $\"highlight%28y=%281%2F16%29x%5E2%2B4%29\"$
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