Answer
See graph
Work Step by Step
$$2x^2+2y^2=\frac{1}{2}$$
$$x^2+y^2=\frac{1}{4}$$
This is a circle with center (0,0) and a radius of $\frac{1}{2}$ units.
Points are:
$$(\frac{1}{2},0)$$
$$(-\frac{1}{2},0)$$
$$(0,\frac{1}{2})$$
$$(0,-\frac{1}{2})$$
Plot these points and connect with a smooth circle.