Answer:
(x + 4)² + (y - 1)² = 25
Explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given (h, k ) = (- 4, 1 ) and r = 5 , then
(x - (- 4) )² + (y - 1)² = 5² , that is
(x + 4)² + (y - 1)² = 25