Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the equation as shown in the figure.
Step 2. Rewrite the equation as $\frac{(x-1)^2}{4}-\frac{(y-1)^2}{4}=1$; we can identify the graph as a hyperbola with $a=b=2, c=2\sqrt 2$ centered at $(1,1)$
