Suppose f(x) = x2 and g(x) = Which statement best compares the graph of g(x) with the graph of f(x)?​

Question

Suppose f(x) = x2 and g(x) = Which statement best compares the graph of g(x) with the graph of f(x)?​

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Gia Bảo 3 weeks 2021-08-31T12:58:52+00:00 1 Answers 0 views 0

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    2021-08-31T13:00:22+00:00

    Answer:

    g(x) is horizontally stretched by a factor of 1/5

    Step-by-step explanation:

    Given

    f(x) = x^2

    g(x) = (\frac{x}{5})^2

    Require

    Determine the relationship between f(x) and g(x)

    f(x) = x^2

    g(x) = (\frac{x}{5})^2

    Express g(x) in terms of f(x)

    g(x)=f(\frac{x}{5})

    This can further be simplified as:

    g(x)=f(\frac{1}{5}x)

    When a function is represented as:

    g(x) = f(cx)

    Where c < 1,

    Then the type of translation is a horizontal stretch (stretch in the x direction)

    By comparison: g(x) = f(cx) and g(x)=f(\frac{1}{5}x)

    c = \frac{1}{5}

    This means that: g(x) is horizontally stretched by a factor of 1/5

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )