Here is the sketch of the locus of the point $z$ described by the equation $|z - 2| = 3$. It represents a circle in the complex plane with:

• Center: $(2, 0)$ (shown in red)
• Radius: 3 (the distance from the center to any point on the circle)

Feel free to ask for further details if needed. Here are some related questions:

1. How do you solve other types of modulus equations in the complex plane?
2. What is the general form of the equation for a circle in the complex plane?
3. How can this concept of locus be applied to real-world problems?
4. What happens if the center of the circle is a complex number instead of a real one?
5. How do transformations of the complex plane affect this kind of equation?

Tip: Modulus equations in the complex plane often represent geometric shapes such as lines or circles, depending on the structure of the equation.