Question

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

Answer 1

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]}