Final answer:
Shifting the circle given by the equation (x+3)^2 + (y)^2 = 36 up by 3 units changes the equation to (x+3)^2 + (y-3)^2 = 36. The value or range resulting from this shift is not provided by the question, so further clarification is needed.
Step-by-step explanation:
The question is related to the effect of shifting a circle in the coordinate system. Specifically, we look at what happens when the circle given by the equation (x+3)² + (x-y)² = 36 is shifted up by 3 units. Let's correct the provided equation as there seems to be a typo; it should likely be (x+3)² + (y)² = 36. When we shift a circle up by 3 units along the y-axis, the only change occurs to the y-coordinate terms in the equation. So the new equation of the circle after shifting would be (x+3)² + (y-3)² = 36.
The subsequent value or range this would fall into is not directly evident from the question, and without additional context, A-D are just ranges of numbers with no clear connection to the problem. The shift of the circle does not correspond to a number range but rather a transformation of the circle's equation within the coordinate system. Considering the question may be a result of typos or confusion, further clarification would be required to answer it definitively.