# How do you graph h(x)=|x+5|+5?

Jan 11, 2018

Check below.

#### Explanation:

Graph of $| x |$ is the graph of $x$ and $- x$ if you exclude the values of $x$ for which the function is negative and under $x$ axis.

graph{|x| [-10, 10, -5, 5]}

Graph of $| x + 5 |$ is the graph of $| x |$ shifted $5$ points to the left

graph{|x+5| [-10, 10, -5, 5]}

Finally, graph of $| x + 5 | + 5$ is the graph of $| x + 5 |$ shifted $5$ points upwards.

graph{|x+5|+5 [-18.9, 13.14, -2.82, 13.2]}