We first need to identify the parent function:
y=|x| is the parent function.
Now, the parent function intersects the origin, so what does that tell you about the graph in the photo?
It tells you that the graph is translated 1 unit up because the y-intercept of the parent function is the origin (0,0). In the new graph, the y-intercept is (0, 1), meaning that the parent function is translated 1 unit up.
This gives us the following function:
y=|x|+1
*It is important to note that the +1 is outside the absolute value bars because the output (y-values) are translated, not the x values.