Answer
$${\text{parabola}}$$
Work Step by Step
$$\eqalign{
& {x^2} = 4y - 8 \cr
& {\left( {x - 0} \right)^2} = 4\left( {y - 2} \right) \cr
& {\text{The equation is in the form }}{\left( {x - h} \right)^2} = 4p\left( {y - k} \right) \cr
& {\text{Therefore, the equation represents a parabola}} \cr
& {\text{Graph}} \cr} $$