the circle is in the third quadrant and its coordinate of the centre is,
Q(-4,-5)
now after the translation of the circle into first quadrant,
its coordinate of the centre will be Q' (4,5)
thus, the equation of the translation is,
Q(x,y) ---> Q' (-x , - y)
thus, the correct answer is option C
(x,y) ----> (-x, -y))