To complete this table for the function $y = x^2 + 3x - 2$, let's calculate each row step-by-step for the given values of $x$:

1. Calculate $x^2$ for each value of $x$:

   • $x = -1$: $x^2 = (-1)^2 = 1$
   • $x = 0$: $x^2 = 0^2 = 0$
   • $x = 1$: $x^2 = 1^2 = 1$ (already provided)
   • $x = 2$: $x^2 = 2^2 = 4$
   • $x = 3$: $x^2 = 3^2 = 9$

2. Calculate $3x$ for each value of $x$:

   • $x = -1$: $3x = 3(-1) = -3$
   • $x = 0$: $3x = 3(0) = 0$
   • $x = 1$: $3x = 3(1) = 3$ (already provided)
   • $x = 2$: $3x = 3(2) = 6$
   • $x = 3$: $3x = 3(3) = 9$

3. Calculate $y = x^2 + 3x - 2$ for each value of $x$:

   • $x = -1$: $y = 1 - 3 - 2 = -4$
   • $x = 0$: $y = 0 + 0 - 2 = -2$
   • $x = 1$: $y = 1 + 3 - 2 = 2$ (already provided)
   • $x = 2$: $y = 4 + 6 - 2 = 8$
   • $x = 3$: $y = 9 + 9 - 2 = 16$

Now, I'll place these values into the table: