Answer
$${\text{parabola}}$$
Work Step by Step
$$\eqalign{
& 4{x^2} - y = 0 \cr
& {\text{Add }}y{\text{ to both sides if the equation}} \cr
& 4{x^2} = y \cr
& {x^2} = \frac{1}{4}y \cr
& {\text{The equation is written in the form }}{x^2} = 4py \cr
& {\text{Therefore,}} \cr
& {\text{The graph of the equation is a parabola}} \cr} $$