document.write( "Question 813796: Find an equation of the parabola that satisfies the given conditions.
\n" ); document.write( "Focus F(8, 4), directrix y = −2 \n" ); document.write( "

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Find an equation of the parabola that satisfies the given conditions.
\n" ); document.write( "Focus F(8, 4), directrix y = −2.
\n" ); document.write( "***
\n" ); document.write( "Given data show parabola opens upwards.
\n" ); document.write( "Its basic form of equation:
\n" ); document.write( " $\"%28x-h%29%5E2=4p%28y-k%29\"$ , (h,k)=(x,y) coordinates of the vertex, p=distance from vertex to focus and directrix on the axis of symmetry
\n" ); document.write( "For given parabola:
\n" ); document.write( "axis of symmetry: x=8
\n" ); document.write( "x-coordinate of vertex=8
\n" ); document.write( "y-coordinate of vertex=(4+(-2))/2=2/2=1 (midpoint between focus and directrix on the axis of symmetry.
\n" ); document.write( "Vertex:(8,1)
\n" ); document.write( "p=3 (distance from vertex to focus and directrix on the axis of symmetry.
\n" ); document.write( "4p=12
\n" ); document.write( "equation of given parabola: $\"%28x-8%29%5E2=12%28y-1%29\"$ \n" ); document.write( "

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