What effect does replacing x with x + 2 have on the graph for the function f(x) ?f(x)=|x−3|+2The graph is shifted 2 units up.The

What effect does replacing x with x + 2 have on the graph for the function f(x) ? f(x)=|x−3|+2

The graph is shifted 2 units up.

The graph is shifted 2 units left.

The graph is shifted 2 units right.

The graph is shifted 2 units down.

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This Post Has 4 Comments

  1. Step-by-step explanation:

    The vertex of f(x)=|x−3|+2 is at (3, 2).

    Replacing x with x+2 results in g(x) = f(x)=|(x+2)−3|+2, or

    g(x) = f(x)=|x+2−3|+2, or

    g(x) = f(x)=|x - 1|+2     The vertex of this graph is at (1, 2).

    The effect of replacing x with x + 2 is a horizontal shift to the left, of 2 units,  of the original graph.

  2. wholesale price is the initial price before markup. retail price comes after the markup.

    a price of 8 bucks that's marked up by 100%   is

    formula: initial price + (percent markup in fraction/decimal)(initial price)

    8+(1)(8)

    8+8

    16

    retail price is $16.

  3. The answer is A.

    When replacing the variable 'x' by 'x + 2' the graph is shifted 2 units to the left. When we replace the variable, the function changes

    from
    [tex]f(x) = |x - 3| + 2[/tex]

    To
    [tex]f(x) = |(x + 2) - 3| + 2[/tex]
    [tex]f(x) = |x - 1| + 2[/tex]

    And therefore the function is shifted 2 to the left.

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