Describing Transformations

Discussion in 'Other Pre-University Math' started by nycmathguy, Jul 28, 2021.

  1. nycmathguy

    nycmathguy

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    Section 1.7
    Question 22

    In Exercises 21–38, g is related to one of the parent functions.

    (a) Identify the parent function f.

    (b) Describe the sequence of transformations from f to g.

    (c) Sketch the graph of g.

    (d) Use function notation to write g in terms of f.

    I will show my effort here. Apply correction where needed.

    22. g(x) = x^2 − 2

    Let me see.

    Part (a)

    The parent function is f(x) = x^2.

    Part (b)

    The parent function was shifted down two units. Yes?

    Part (c)

    I will do this on paper as a last step.

    Part (d)

    I'm not sure if this is right but here we go. I found the parent function to be f(x) = x^2. I need to write g in terms of f.

    Let me see.

    g(x) = x^2 - 2

    We know that f(x) = x^2. I think it's just a basic substitution.

    My answer is g(x) = f(x) - 2.

    You say?

    I will do a few more examples after a reply to this question.
     
    nycmathguy, Jul 28, 2021
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    MathLover1 likes this.
  2. nycmathguy

    MathLover1

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    all correct
     
    MathLover1, Jul 29, 2021
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Feels good to be right.
     
    nycmathguy, Jul 30, 2021
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