Question

Write an algebraic equation to match this graph.

Answer 1

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 brainly.com/question/4521517

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