Here is the graph of the equation $(x + 2)^2 + (y - 3)^2 = 4$. As you can see, it represents a circle centered at $(-2, 3)$ with a radius of 2 units.

Would you like to explore any details or ask questions about this graph? Here are a few related questions:

1. How do you determine the radius and center of a circle from its equation?
2. What happens if we change the radius in this equation?
3. How would shifting the center of the circle affect the graph?
4. What is the significance of the general form of a circle $(x - h)^2 + (y - k)^2 = r^2$?
5. How can we find the equation of a tangent to this circle?

Tip: When graphing circles, always check that the terms involving $x$ and $y$ are perfect squares, as this indicates a standard circle equation.