Answer:
(x + 2)² + (y - 4)² = 16
Step-by-step 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
Here (h, k ) = (- 2, 4 ) and r = 4 , then
(x - (- 2))² + (y - 4)² = 4² , that is
(x + 2)² + (y - 4)² = 16
