Two Different Graphs

Discussion in 'Algebra' started by harpazo, Apr 24, 2024.

  1. harpazo

    harpazo

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    Suppose that the graph of a function f is known. Expkain how the graph of y = f(x) - 2 differs from the graph of y = f(x - 2).

    Let me see.

    For the graph of y = f(x) - 2, the graph of y = f(x) is shifted down 2 units on the line x = 0.

    For the graph of y = f(x - 2), the graph of y = f(x) is shifted two units to the right on the line y = 0.


    You say?
     
    harpazo, Apr 24, 2024
    #1
  2. harpazo

    RobertSmart

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    Your explanation is on the right track, but there seems to be a slight confusion in your description.

    For the graph of =()−2y=f(x)−2, the graph of =()y=f(x) is shifted downward by 2 units. This means that every point on the graph of ()f(x) is lowered by 2 units.

    For the graph of =(−2)y=f(x−2), the graph of =()y=f(x) is shifted to the right by 2 units. This means that every point on the graph of ()f(x) is shifted horizontally to the right by 2 units.

    So, in summary:

    • =()−2y=f(x)−2 shifts the graph of ()f(x) downward by 2 units.
    • =(−2)y=f(x−2) shifts the graph of ()f(x) to the right by 2 units.
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    RobertSmart, Apr 25, 2024
    #2
    harpazo likes this.
  3. harpazo

    harpazo

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    1. I am doing a self-study of mathematics.

    2. I am not a classroom student.

    3. In what way is my description confusing?

    I think my answer satisfies the question.

    You say?
     
    harpazo, Apr 25, 2024
    #3
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