Respuesta :

Answer:

The answer to your question is Center = (-5, 1)  radius = 2

Step-by-step explanation:

Data

                (x + 5)²  +  (y - 1)² = 4

Here we have the standard form of a circle. In the standard form, the center is represented as C (h, k). As the formula below

              (x - h)² + (y - k)² = r²

Then,

h = -(5) = -5

k = -(-1) = 1

and radius = r = 2    r² = 4

Conclusion

Center = (-5, 1)  radius = 2