The graph of y = |x - 7| - 8 is shifted to the left 5. What is an equation of the transformed graph?



Answer :

An equation of the transformed graph is; y = |x - 2| - 8

How to carry out graph transformations?

We are given the graph equation as;

y = |x - 7| - 8

Now, In function notation, to shift a function left, add inside the function's argument: f(x + b) shifts f(x) b units to the left. Shifting to the right works the same way, f(x - b) shifts f(x) b units to the right.

Applying that definition of transformation to our question gives us that shifting the given function 5 units to the left is;

y = |x - 7 + 5| - 8

⇒ y = |x - 2| - 8

Read more about Graph Transformations at; https://brainly.com/question/4289712

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