The general equation of circle with center (a,b) and radius r is express as :
(x -a)² + (y -b)² = r²
In the given question, point ( -3, 4) and radius r = 3
(x -(-3))² + (y - 4)² = 3²
(x +3)² + (y -4)² = 9
Equation with center (-3, 4) and radius length3 is : (x +3)² + (y -4)² = 9
Answer : D) (x +3)² + (y -4)² = 9