Answer
$(y-2)^2=-8(2x+14)$; parabola
Work Step by Step
Given: $y^2-4y+16x+116=0$
$(y-2)^2+16x+112=0$
This gives:
$(y-2)^2=-8(2x+14)$
Thus, we have
$(y-2)^2=-8(2x+14)$
This is the standard form of a parabola.
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