document.write( "Question 679618: Find the equation of the parabola.
\n" ); document.write( "Focus (5,-2), directrix x=-1 \n" ); document.write( "

Algebra.Com's Answer #421991 by lwsshak3(11628) $\"\"$ $\"About$

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Find the equation of the parabola.
\n" ); document.write( "Focus (5,-2), directrix x=-1
\n" ); document.write( "This is an equation of a parabola that opens rightwards.
\n" ); document.write( "Its standard form: (y-k)^2=4p(x-h), (h,x)=(x,y) coordinates of the vertex
\n" ); document.write( "For given parabola:
\n" ); document.write( "y- coordinate of vertex=-2
\n" ); document.write( "x-coordinate of vertex=2 (midpoint of -1 and 5)
\n" ); document.write( "vertex:(2,-2)
\n" ); document.write( "axis of symmetry: y=-2
\n" ); document.write( "p=3 (distance from focus or directrix to vertex on the axis of symmetry)
\n" ); document.write( "equation:
\n" ); document.write( "(y+2)^2=12(x-2) \n" ); document.write( "

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