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

1 Answer
Jan 11, 2018

Answer:

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]}