# How do you graph y = abs[x - 1] + 4?

Kindly see the explanation for the details

#### Explanation:

The graph of $y = \left\mid x - 1 \right\mid$ includes the following points

$\left\{\begin{matrix}- 4 & 5 \\ - 3 & 4 \\ - 2 & 3 \\ - 1 & 2 \\ 0 & 1 \\ 1 & 0 \\ 2 & 1 \\ 3 & 2 \\ 4 & 3 \\ 5 & 4 \\ 6 & 5 \ldots .\end{matrix}\right\}$

Now let us elevate this graph up by 4 units so that the points are

$\left\{\begin{matrix}- 4 & 9 \\ - 3 & 8 \\ - 2 & 7 \\ - 1 & 6 \\ 0 & 5 \\ 1 & 4 \\ 2 & 5 \\ 3 & 6 \\ 4 & 7 \\ 5 & 8 \\ 6 & 9 \\ \ldots .\end{matrix}\right\}$

This is the graph of $y = \left\mid x - 1 \right\mid + 4$

God bless....I hope the explanation is useful.