What is the result of shifting a circle with equation (x+3) 2 + (y-2) 2=36 left 3 units

Answer:A result of shifting a circle with equation (x+3) ^2 + (y-2) ^2=36 up 3 units is: (x+3) ^2 + (y-5) ^2=36

Step-by-step explanation:

To shift a graph "a" units up, we must replace in the equation "y" by "y-a" when y is not isolated; or if y is isolated, you add "a" to the right side of the equation.

In this case we want to shift the graph of the circle 3 units up, then a=3, and we must replace in the equation of the circle "y" by "y-3":

(x+3) ^2+[ (y-3) - 2]^2=36→

(x+3) ^2 + (y-3-2) ^2=36→

(x+3) ^2 + (y-5) ^2=36

Answer: A result of shifting a circle with equation (x+3) ^2 + (y-2) ^2=36 up 3 units is: (x+3) ^2 + (y-5) ^2=36