Answer
$${\text{parabola}}$$
Work Step by Step
$$\eqalign{
& {y^2} + x = 4 \cr
& {\text{Subtract }}x{\text{ from both sides of the equation}} \cr
& {y^2} = - x + 4 \cr
& or \cr
& {\left( {y - 0} \right)^2} = - \left( {x - 4} \right) \cr
& {\text{The equation is written in the form }}{\left( {y - k} \right)^2} = 4p\left( {x - h} \right) \cr
& {\text{Therefore,}} \cr
& {\text{The graph of the equation is a parabola}} \cr} $$
