The function y = |x| - 1 is a translation of 1 unit downwards of the parent absolute value function, and its graph is the first one shown in the images.
Here we want to graph:
y = |x| - 1
Notice that if we take the parent absolute value function:
y = |x|
And we translate it one unit downwards, we will get:
y = |x| - 1
Which is the function that we want to graph.
So to select the correct graph, we need to find the one that is the parent absolute value function translated one unit downwards. It is the one with the vertex at (-1, 0), which is the graph that appears on the first image.
If you want to learn more about absolute values:
https://brainly.com/question/3381225
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