Answer:
Graph A
Step-by-step explanation:
The equation of a circle has the following form:
![(x-h)^2+(y-k)^2=r^2](https://img.qammunity.org/2023/formulas/mathematics/college/5s77z5lwu6jnvb5vkwanu2jvhq5sh1qkc3.png)
Where (h, k) are the coordinates of the center and r is the radius of the circle.
So, if the equation is:
![(x+3)^2+(y-1)^2=4_{}](https://img.qammunity.org/2023/formulas/mathematics/college/fn29usaplpx787lm9hb1iruze1iszyclfd.png)
We can rewrite the expression to get:
![(x-(-3))^2+(y-1)^2=2^2](https://img.qammunity.org/2023/formulas/mathematics/college/3mpmqzmxro9b6f04qbgqddqdnm8t6ydi77.png)
Now, if we compare the equations, we can identify that the center is the point (-3, 1) and the radius is 2.
Therefore, the only option that satisfies both conditions is A. So, the answer is graph A.