Which equation represents the translation of x^2 + y^2=16 by 5 units to the right and 2 units down ?

a) (x-2)^2 + (y+5)^2=16
b) (x-5)^2 + (y+2)^2=16
c) (x+2)^2 + (y-5)^2= 16
d) (x+5)^2 + (y-2)^2=16

Respuesta :

The equation, x^2+y^2=16 is an equation of the circle which is centered at (0,0), when the circle is moved 5 units to the right and 2 units down, this implies that the center will be at (5,-2)
the new equation will be:
(x-5)^2+(y+2)^2=16

Answer: B] (x-5)^2+(y+2)^2=16