Answer
Circle shifted 1 unit left and 3 units up
Work Step by Step
$(x+1)^2+(y-3)^2=6$
The first aspect to notice is both the x term and y term are squared. The second aspect to notice is the two squared terms are both positive and divided by 1. This means the conic is a circle. The $(x+1)$ means that the center is shifted one unit left (across the x-axis). The $(y-3)$ means that the center is shifted three units up (the y-axis).
