2.	write the general equation of the circle whose center is (-2,3) and whose radius is 1. Show the graph

The graph above represents the circle with the equation \((x + 2)^2 + (y - 3)^2 = 1\), centered at \((-2, 3)\) with a radius of 1.

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Here are five related questions you might find helpful:
1. How do you find the equation of a circle given different points on the circle?
2. What happens to the equation if the radius changes?
3. How do you determine the distance between two points, such as the center and a point on the circle?
4. Can you write the equation of a circle in general form from this standard form?
5. How can you graph a circle if the equation is not given in standard form?

**Tip:** The general equation of a circle can be transformed into other forms like the expanded or general quadratic form, which may be useful in certain contexts.

Write the general equation of the circle whose center is (-2,3) and whose radius is 1. Show the graph.

Learn how to write the equation of a circle with center (-2, 3) and radius 1, using the standard form of a circle equation. This problem covers key concepts in geometry, such as understanding the coordinate plane and applying the equation of a circle formula. Suitable for students in Grades 8-10.

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