document.write( "Question 678079: (x − 1)^2 = 12(y + 5) what is the vertex, focus, and directrix? \n" ); document.write( "

Algebra.Com's Answer #421340 by lwsshak3(11628) $\"\"$ $\"About$

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(x − 1)^2 = 12(y + 5) what is the vertex, focus, and directrix?
\n" ); document.write( "This is an equation of a parabola that opens upwards.
\n" ); document.write( "Its standard form: (x-h)^2=4p(y-k), (h,k)=(x,y) coordinates of the vertex
\n" ); document.write( "For given equation:(x−1)^2 = 12(y+5)
\n" ); document.write( "vertex: (1,-5)
\n" ); document.write( "axis of symmetry: x=1
\n" ); document.write( "4p=12
\n" ); document.write( "p=3
\n" ); document.write( "focus:(1,-5+p)=(1,-5+3)=(1,-2) (p units above vertex on the axis of symmetry)
\n" ); document.write( "directrix: y=-8 (p units below vertex on the axis of symmetry) \n" ); document.write( "

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