Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 2)?
which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 2)?
a. the graph of y = f(x) will shift left 2 units.
b. the graph of y = f(x) will shift right 2 units.
c. the graph of y = f(x) will shift up 2 units.
d. the graph of y = f(x) will shift down 2 units.

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  1. B

    Step-by-step explanation:

    [tex]pls help meh.. Which of the following statements best describes the effect of replacing the graph of[/tex]

  2. answer:

    the graph of y = f(x) will shift left 6 units.

    step-by-step explanation:

    y = f(x) will be at the origin of (0,0). y = f(x + 6) will shift it left because of the plus/addition sign. if it's plus a number, you go that many times to the left. if it's subtracting a number, it goes that many times to the right.

  3. step-by-step explanation:

    contrary to what your intuition may tell you, the correct answer is b. minus means move right. when the constant is subtracted from x.

    if the choice was f(x + 2) that would move the function left 2 units.

    f(x - 2) does not affect up and down movement.

  4. The graph will shift 9 units to the right

    Sorry about my hand writing

    [tex]Question 9(Multiple Choice Worth 4 points) (02.05 LC) Which of the following statements best descri[/tex]

  5.  D) right 9 units

    Step-by-step explanation:

    The Vertex form of a quadratic equation is: y = a(x - h)² + k     where

    a is the vertical stretch or shrink(x, h) is the vertex

            → h is the horizontal shift (+ is right, - is left)

            → k is the vertical shift (+ is up, - is down)

    y = f(x - 9)

                ↓

               h=9

    Since h is positive, the graph moves 9 units to the RIGHT

  6. The graph of y = f(x) will shift left 6 units, as shown in figure a.

    Step-by-step explanation:

    A translation means we are able to move the graph of a function up or down - normally called Vertical Translation -  and right or left - commonly called Horizontal Translation.

    If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the  x, so it is f(x + 6).

    For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.

    So, the graph of y = f(x) will shift left 6 units.

    Keywords: graph shift, translation

    Learn more about translation from

    #learnwithBrainly

    [tex]Which of the following statements best describes the effect of replacing the graph of y = f(x) with[/tex]

  7. The graph of y = f(x) will shift to the right 9 units.

    Step-by-step explanation:

    Despite some lack of clarity, because usually this equality is in terms of x and y. Let's do it.

    Taking f(x) as its parent function in other words

    [tex]y=f(x)[/tex]

    Testing some values:

    x|y

    0|0

    1|1

    2|2

    Adding to the function  -9 units is to shift it to the right

    [tex]y=f(x-9)[/tex]

    Testing some values to certify:

    x|y

    -9|0-9

    -8|1-9

    -7|2-9

    [tex]Which of the following statements best describes the effect of replacing the graph of y = f(x) with[/tex]
    [tex]Which of the following statements best describes the effect of replacing the graph of y = f(x) with[/tex]

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