Describe the Trace of the Sphere $( x + 1 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z + 8 ) ^ { 2 } = 100$

Essay

Describe the trace of the sphere $( x + 1 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z + 8 ) ^ { 2 } = 100$ in
(a) the yz-plane and
(b) the plane
$x = 4$ .