Given that
The function is y = -x² - 6 and we have to find its values from x = -3 to x = 3.
With the help of these values, we have to draw a graph and a table.
Explanation -
So on substituting the values of x we have
[tex]\begin{gathered} For\text{ x = -3} \\ y=-(-3)^2-6=-9-6=-15 \\ \\ For\text{ x = -2} \\ y=-(-2)^2-6=-4-6=-10 \\ \\ For\text{ x = -1} \\ y=-(-1)^2-6=-1-6=-7 \\ \\ For\text{ x = 0} \\ y=-0-6=-6 \\ \\ For\text{ x = 1} \\ y=-1^2-6=-1-6=-7 \\ \\ For\text{ x = 2} \\ y=-2^2-6=-4-6=-10 \\ \\ For\text{ x = 3} \\ y=-3^2-6=-9-6=-15 \end{gathered}[/tex]So the table will be as
x -3 -2 -1 0 1 2 3
y -15 -10 -7 -6 -7 -10 -15
And the graph will be
So these were the required answers.