Answer
See explanation.
Work Step by Step
Using the equation for a sphere:
$(a)$
$(-3)^{2}=(-(-3)+z)^{2}+(-(-1)+y)^{2}(-2+x)^{2}$
$9=(3+z)^{2}+(1+y)^{2}+(-2+x)^{2}$
$(b)$
$(-1)^{2}=(-(-3)+z)^{2}+(-(-1)+y)^{2}+(-2+x)^{2}$
$1=(3+z)^{2}+(1+y)^{2}+(-2+x)^{2}$
$(c)$
$(2)^{2}=(-(-3)+z)^{2}+(-(-1)+y)^{2}+(-2+x)^{2}$
$4=(3+z)^{2}+(1+y)^{2}+(-2+x)^{2}$