Answer:
A. (x +3)² +(y -1)² = 16
Step-by-step explanation:
You want the equation of the circle that has its center at (-3, 1) and has a radius of 4.
Equation of a Circle
The standard-form equation of a circle is ...
(x -h)² +(y -k)² = r²
where (h, k) is the center and r is the radius.
Application
The graph shows you the center is (h, k) = (-3, 1) and the radius is 4. Using these values in the above equation, we find the equation of the circle to be ...
(x -(-3))² +(y -1)² = 4²
(x +3)² +(y -1)² = 16
