A circle has equation (x−1)2+(y+2)2=4(x-1)^2 + (y+2)^2 = 4(x−1)2+(y+2)2=4. What is the equation after a translation by ⟨−2,3⟩\langle -2, 3 \rangle⟨−2,3⟩?
(x+1)2+(y−1)2=4(x+1)^2 + (y-1)^2 = 4(x+1)2+(y−1)2=4
(x−3)2+(y+5)2=4(x-3)^2 + (y+5)^2 = 4(x−3)2+(y+5)2=4
(x+1)2+(y−5)2=4(x+1)^2 + (y-5)^2 = 4(x+1)2+(y−5)2=4
(x−1)2+(y+2)2=4(x-1)^2 + (y+2)^2 = 4(x−1)2+(y+2)2=4