Answer
A sphere with radius $3$ centered at $(1,0,0)$
Work Step by Step
Equation of Sphere with Center $(a,b,c)$ and radius $r$
$(x-a)^2 + (y-b)^2 + (z-c)^2 = r^2$
Given Equation:
$(x-1)^2 + y^2 + z^2 - 9 =0$
Rewritten:
$(x-1)^2 + (y-0)^2 + (z-0)^2 =9$
$(x-1)^2 + (y-0)^2 + (z-0)^2 =3^2$
Center is at $(1,0,0)$ and radius is $3$.