Fill in quadratic function table. How would you fill in this quadratic table?

\begin{array}{|c|c|}\hline
 x&amp; y \\ \hline
-3&amp; 0 \\ \hline
-2&amp; 2 \\ \hline
-1&amp; ? \\ \hline
 0&amp; ? \\ \hline
 1&amp; 0 \\ \hline
\end{array}
Guide:


Step $1$: Find the quadratic equation that passeas through $(-3,0), (-2,2), (1,0)$
Step $2$: Evaluate that quadratic equation formula that you have foundat $-1$ and $0$.
This is a quadratic equation, meaning it has at most 2 roots. The quadratic $y=\alpha(x-1)(x+3)$.

put $x=-2 , y=2$

$2=\alpha(-3)(1)$

$2=-3\alpha$

$-2/3=\alpha$

$y=-\frac{2}{3}(x-1)(x+3)$.

for $x=0$

$y=-\frac{2}{3}(0-1)(0+3)$.

$y=2$

for $x=-1$

$y=-\frac{2}{3}(-1-1)(-1+3)$.

$y=-\frac{2}{3}(-2)(2)$.

$y=\frac{8}{3}$.