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

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

1 thought on “The graph of y = |x – 7| – 8 is shifted to the left 5. What is an equation of the transformed graph?”

  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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