Question

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

Short answer

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

Step-by-step solution

Step 1. Construct the table for the given function.

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

$x$	-1	0	-2
$g\left(x\right)$	0	1	1

Step 2. Plot the points on coordinate plane.

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

Step 3. DESCRIPTION OF STEPS.

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