Answer
It is a circle.
See Graph I for the graphing of the equation.
Work Step by Step
For $(x + \frac{1}{2})^2 + (y - \frac{1}{2})^2 = 1$, it is a circle with center at $(-\frac{1}{2}, \frac{1}{2})$ and radius = 1.
See Graph I for the graphing of the equation.