Answer and Explanation:
The circle is modeled on the Cartesian plane with the equation:
[tex](x-h)^2+(y-k)^2 = r^2[/tex]
where:
- [tex](h,k)[/tex] is the center of the circle
- [tex]r[/tex] is the radius
From the given equation, we can identify the following information:
[tex](x+1)^2 + (y-1)^2 = 4[/tex]
- [tex](h,k) = (-1, 1)[/tex]
- [tex]r = 2[/tex]
