Answer
No graph
Work Step by Step
$$\eqalign{
& \frac{{{x^2}}}{4} + \frac{{{y^2}}}{4} = - 1 \cr
& {\text{Multiply by 4}} \cr
& {x^2} + {y^2} = - 4 \cr
& {\text{The equation is in the form }}{x^2} + {y^2} = {r^2} \cr
& {r^2}{\text{ is negative, then the equation does not represent a graph}} \cr} $$