Answer:
![\begin{array} c </p><p></p><p>\cline{1-8} x & - 3 & - 2 & - 1 & 0& 1 & 2 & 3\\</p><p></p><p>\cline{1-8} y & 6 &\textbf{0} &\textbf{ - 4} & - 6 & \textbf{ - 6}& \textbf{ - 4}& \textbf{0} \\</p><p></p><p></p><p>\cline{1-8}</p><p></p><p>\end{array}]()
Explanation:
The 2nd column of the table means that when x= -3, y= 6.
Since this table of values is for the equation of y= x² -x -6,
substitute the given values of x into the equation to find the respective values of y.
3rd column:
y= x² -x -6
When x= -2,
y= (-2)² -(-2) -6
y= 4 +2 -6
y= 0
4th column:
y= x² -x -6
When x= -1,
y= (-1)² -(-1) -6
y= 1 +1 -6
y= -4
6th column:
y= x² -x -6
When x= 1,
y= 1² -1 -6
y= 1 -1 -6
y= -6
7th column:
y= x² -x -6
y= 2² -2 -6
y= 4 -2 -6
y= -4
8th column:
y= x² -x -6
y= 3² -3 -6
y= 9 -3 -6
y= 0