Answer
(a) center $(h,k)=(-1,1)$ and radius $r=\sqrt 2$.
(b) See graph.
(c) $(-2,0),(0,0),(0,2)$.
Work Step by Step
(a) Given $3(x+1)^2+3(y-1)^2=6\longrightarrow (x+1)^2+(y-1)^2=2$, we can find the center $(h,k)=(-1,1)$ and radius $r=\sqrt 2$.
(b) See graph.
(c) We can find the x-intercept(s) (let y=0) $(-2,0),(0,0)$, y-intercept(s) (let x=0) $(0,2),(0,0)$.
