Answer
See below:
Work Step by Step
Consider the equation $y=\left| x+1 \right|$.
Substitute $x=-4$ and solve:
$\begin{align}
& y=\left| x+1 \right| \\
& =\left| -4+1 \right| \\
& =\left| -3 \right| \\
& =3
\end{align}$
Substitute $x=-3$ and solve:
$\begin{align}
& y=\left| x+1 \right| \\
& =\left| -3+1 \right| \\
& =\left| -2 \right| \\
& =2
\end{align}$
Substitute $x=-2$ and solve:
$\begin{align}
& y=\left| x+1 \right| \\
& =\left| -2+1 \right| \\
& =\left| -1 \right| \\
& =1
\end{align}$
Substitute $x=-1$ and solve:
$\begin{align}
& y=\left| x+1 \right| \\
& =\left| -1+1 \right| \\
& =\left| 0 \right| \\
& =0
\end{align}$
Substitute $x=0$ and solve:
$\begin{align}
& y=\left| x+1 \right| \\
& =\left| 0+1 \right| \\
& =\left| 1 \right| \\
& =1
\end{align}$
Substitute $x=1$ and solve:
$\begin{align}
& y=\left| x+1 \right| \\
& =\left| 1+1 \right| \\
& =\left| 2 \right| \\
& =2
\end{align}$
Substitute $x=2$ and solve:
$\begin{align}
& y=\left| x+1 \right| \\
& =\left| 2+1 \right| \\
& =\left| 3 \right| \\
& =3
\end{align}$
