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1. 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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