Consider the Sphere $( x + 1 ) ^ { 2 } + ( y - 0 ) ^ { 2 } + ( z - 1 ) ^ { 2 } = 4$

Essay

Consider the sphere $( x + 1 ) ^ { 2 } + ( y - 0 ) ^ { 2 } + ( z - 1 ) ^ { 2 } = 4$ (a)What are the center and radius of this sphere?
(b)Find an equation of the circle (if any)where the sphere intersects the plane x = -2.