Final Answer:
The given information describes a circle with center at (-2, -3) and a radius of 2 units.
Step-by-step explanation:
The coordinates (-2, -3) represent the center of the circle, and the value of 2 units is the radius. In the Cartesian coordinate system, the center of a circle is specified by its (x, y) coordinates, and the radius determines the distance from the center to any point on the circle's circumference.
To visualize this, imagine a circle on a coordinate plane with its center at (-2, -3) and a radius extending 2 units in all directions. This means that any point on the circumference of the circle will be exactly 2 units away from the center. The circle can be graphically represented as a set of points (x, y) such that the distance from (-2, -3) to (x, y) is equal to the radius, which is 2 units.
The equation of a circle in the Cartesian coordinate system is given by (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius. Applying this formula to the given information, we get (x + 2)^2 + (y + 3)^2 = 2^2. This equation represents all the points (x, y) that lie on the circumference of the circle with center (-2, -3) and radius 2 units.