Answer
See below.
Work Step by Step
We plug in $x=-3,-2,-1,0,1,2,3$ into the expression:
$y=1-x^2=1-(-3)^2=1-9=-8$
$y=1-x^2=1-(-2)^2=1-4=-3$
$y=1-x^2=1-(-1)^2=1-1=0$
$y=1-x^2=1-0^2=1-0=1$
$y=1-x^2=1-1^2=1-1=0$
$y=1-x^2=1-2^2=1-4=-3$
$y=1-x^2=1-3^2=1-9=-8$