Center (-2,4) radius=6

(x + 2) ² + (y - 4) ² = 36 ← is the equation of the circle

the equation of a circle in standard form is (x - a) ² + (y - b) ² = r²

where (a, b) are the coordinates of the centre and r is the radius

here (a, b) = ( - 2, 4) and r = 6

(x + 2) ² + (y - 4) ² = 36