Answer:
(x +3)² +(y -4)² = 9
Explanation:
You want the equation of a circle with center (-3, 4) and radius 3.
Circle equation
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Application
You have a circle with center (h, k) = (-3, 4) and radius r = 3. Using these values in the above equation, we find the circle equation to be ...
(x -(-3))² +(y -4)² = 3²
(x +3)² +(y -4)² = 9