Given the graph of the circle find the equation

(x + 4)² + (y + 1)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = )- 4, - 1) and r = 2 , thus

(x - (- 4))² + (y - (- 1))² = 2² , that is

(x + 4)² + (y + 1)² = 4 ← equation of circle