Using translation concepts, the algebraic equation that matches the graph is given by:
y = |x - 1| - 1
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the function y = |x| is:
- Shifted one unit right, hence x -> x - 1.
- Shifted one unit down, hence y -> y - 1.
Thus the algebraic equation that matches the graph is given by:
y = |x - 1| - 1
More can be learned about translation concepts at https://brainly.com/question/4521517
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