Answer:
(x + 3)² + (y - 4)² = 6²
Explanation:
Equation of a circle is (x - a)² + (y - b)² = r²,
where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.
the centre is at (-3 ,4). looking at largest and smallest y-values, the radius is half of that. largest y = 10, smallest = -2. difference = 12. radius is half = 6.
equation of circle is (x - -3)² + (y - 4) = 6²
(x + 3)² + (y - 4)² = 6²