Question

2.Make a table and graph the function. Use integer values of x from -3 to 3.y = -x² - 6

Answer 1

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.

Step-by-step explanation -

So on substituting the values of x we have

`\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}`

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.