The equation of a circle (x−5)2+(y+6)2=1 has a center of (5,−6) . Which of the following functions correctly transforms the circle so that it is shifted 2 units to the right and 3 units up?(1 point)

Question

Answer Options are:

(x-3)^2+(y+9)^2=1

(x-7)^2+(y+9)^2=1

(x+2)^2+(y+3)^2=1

(x-2)^2+(y-3)^2=1

Answer 1

To shift the circle 2 units to the right and 3 units up, we need to subtract 2 from the x-coordinate and add 3 to the y-coordinate of the center.

The correct equation of the transformed circle is therefore:
(x-2)^2 + (y+3)^2 = 1

So the correct answer is:
(x-2)^2 + (y+3)^2 = 1