Question

Sketch the graph of the function$g\left(x\right)=-{\left(x+1\right)}^2$ by making table.

Short answer

The graph of the function $g\left(x\right)=-{\left(x+1\right)}^2$is shown.

Step-by-step solution

Step 1. Construct the table for the given function.

The given function is $g\left(x\right)=-{\left(x+1\right)}^2$whose tables for respective values of $\left(x\right)$and $g\left(x\right)$is shown below.

$x$	-1	-3	1
$g\left(x\right)$	0	-4	-4

Step 2. Plot the points on coordinate plane.

By plotting points on coordinate plane, the graph for the function $g\left(x\right)=-{\left(x+1\right)}^2$is shown below.

Step 3. DESCRIPTION OF STEPS.

From the graph it can be interpreted that the graph of the function is a downward parabola.