document.write( "Question 943079: I'm trying to graph a parabola and find its vertex and two other points. The equation given is y^2-4x=8y. I'm not sure which steps to take. Please help! Thanks! \n" ); document.write( "
Algebra.Com's Answer #574966 by lwsshak3(11628)\"\" \"About 
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I'm trying to graph a parabola and find its vertex and two other points. The equation given is y^2-4x=8y.
\n" ); document.write( "y^2-4x=8y
\n" ); document.write( "complete the square:
\n" ); document.write( "y^2-8y=4x
\n" ); document.write( "(y^2-8x+16)=4x+16
\n" ); document.write( "(y-4)^2=4(x+4)
\n" ); document.write( "This is an equation of a parabola that opens right
\n" ); document.write( "Its basic form of equation: (y-h)^2=4p(x-h), (h,k)=coordinates of the vertex
\n" ); document.write( "For given parabola:
\n" ); document.write( "vertex:(-4,4)
\n" ); document.write( "axis of symmetry: y=4
\n" ); document.write( "4p=4
\n" ); document.write( "p=1
\n" ); document.write( "focus:(-3,4)(p-distance right of vertex on the axis of symmetry)
\n" ); document.write( "directrix:x=-5(p-distance left of vertex on the axis of symmetry)
\n" ); document.write( "see graph below:
\n" ); document.write( "y=±(4x+16)^.5+4
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