document.write( "Question 864330: write the equation of a parabola with a focus at (0,1) and a directrix of y=-1 \n" ); document.write( "

Algebra.Com's Answer #520944 by josgarithmetic(39620) $\"\"$ $\"About$

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One way is try the definition of a parabola and the use of the Distance Formula. \r
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\n" ); document.write( "\n" ); document.write( "Cutting past all the instructive description, the directrix is all points, (x,-1). The parabola is a variable set of points, (x,y):\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%28%28x-0%29%5E2%2B%28y-1%29%5E2%29=sqrt%28%28x-x%29%5E2%2B%28y-%28-1%29%29%5E2%29\"$
\n" ); document.write( " $\"x%5E2%2B%28y-1%29%5E2=0%2B%28y%2B1%29%5E2\"$
\n" ); document.write( " $\"x%5E2%2By%5E2-2y%2B1=y%5E2%2B2y%2B1\"$
\n" ); document.write( " $\"x%5E2-2y=2y\"$
\n" ); document.write( " $\"highlight%28x%5E2=4y%29\"$
\n" ); document.write( "OR
\n" ); document.write( " $\"highlight%28y=%281%2F4%29x%5E2%29\"$
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