Answer
f(-1) = 0
f(0) = 2
f(1) = 8
f(2) = 18
f(3) = 32
Work Step by Step
$f(x) = 2(x+1)^2$
when x = -1
$f(-1) = 2(-1 + 1)^2$
$f(-1) = 2(0)^2$
$f(-1) = 2(0)$
$f(-1) = 0$
when x = 0
$f(0) = 2(0 + 1)^2$
$f(0) = 2(1)^2$
$f(0) = 2(1)$
$f(0) = 2$
when x = 1
$f(1) = 2(1 + 1)^2$
$f(1) = 2(2)^2$
$f(1) = 2(4)$
$f(1) = 8$
when x = 2
$f(2) = 2(2 + 1)^2$
$f(2) = 2(3)^2$
$f(2) = 2(9)$
$f(2) = 18$
when x = 3
$f(3) = 2(3 + 1)^2$
$f(3) = 2(4)^2$
$f(3) = 2(16)$
$f(3) = 36$