Answer:
The graph is shown in the following image
Step-by-step explanation:
The parent function of is
The graph of is the union of two lines:
for
for
The vertex of this graph is in point (0,0)
<em>The graphic is shown in the attached image</em>.
Then, if we do to the parent function we get:
This transformation shifts the graph of 1 unit to the left
Then, if we make the transformation to the function we obtain:
This transformation displaces the graph of the function 2 units up on the y axis.
So, if the vertex of the main function was at point (0,0), the vertex of the function has its vertex in the point (-1, 2).
<em>The graph is shown in the following image</em>