document.write( "Question 857849: Find the vertex, focus, and directrix of the parabola given by the equation (x-1)^2 = 8y-16 \n" ); document.write( "

Algebra.Com's Answer #516961 by lwsshak3(11628) $\"\"$ $\"About$

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Find the vertex, focus, and directrix of the parabola given by the equation
\n" ); document.write( "(x-1)^2 = 8y-16
\n" ); document.write( "(x-1)^2 = 8(y-2)
\n" ); document.write( "This is an equation of a parabola that opens up
\n" ); document.write( "Its basic equation:
\n" ); document.write( "(x-h)^2=4p(y-k), (h,k)=coordinates of the vertex
\n" ); document.write( "For given parabola:
\n" ); document.write( "vertex:(1,2)
\n" ); document.write( "axis of symmetry: x=1
\n" ); document.write( "4p=8
\n" ); document.write( "p=2
\n" ); document.write( "focus(1,4) (p-distance above vertex on the axis of symmetry)
\n" ); document.write( "directrix:y=0 (p-distance below vertex on the axis of symmetry) \n" ); document.write( "

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