Hello!
A circle centered at the point (h,k) with a radius (r) has the following formula:
(x – h)² + (y – k)² = r²
Substitute any known values into the equation above:
(x – 4)² + (y – (-1))² = 3²
Simplify both sides:
(x – 4)² + (y + 1)² = 9
This is the equation of the given circle. The answer is B.
I hope this helps!