Description of the translation: It is a horizontal translation of y=|x| one unit to the left. Graph:
Practice makes perfect
We want to draw the graph of the given function, which has the form y=|x-k|, where k is either a positive or a negative number.
y=|x+1| ⇒ y=|x-(-1)|To do so, we will first draw the graph of its parent absolute value function, y=|x|. Recall that the graph of y=|x| is V-shaped with vertex (0,0), whose axis of symmetry is the vertical line x=0.
Our function is a horizontal translation of the parent function 1 unit in the negative direction. Thus, we will translate the above graph 1 unit to the left.
