equation of circle is given as
[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ [/tex]
where (h,k) is center of cirlce and r is radius.
so lets figure out it from graph.
as we can see in graph center is at ( -1, 1)
radius is 4 units as shown in graph but we can calculate it. take any point on circle and calculate its distance from center. lets take point (3, 1)
now distance = √((3+1)^2+(1-1)^2)
= √16 = 4
lets put it in equation
(x +1)^2 + (y-1)^2 = 4^2
