Answer
$(x+4)^2=-4(y+3)$; Parabola
Work Step by Step
Given: $x^2+8x+4y+28=0$
$(x+4)^2 +4y+28-16=0$
This gives:
$(x+4)^2=-(4y+12)$
Thus, we have
$(x+4)^2=-4(y+3)$
This is the standard form of a Parabola.
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