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16 October, 02:46

Which functions have a vertex with a x-value of 0? Select three options. f (x) = |x| f (x) = |x| + 3 f (x) = |x + 3| f (x) = |x| - 6 f (x) = |x + 3| - 6

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  1. 16 October, 02:47
    0
    Step-by-step explanation:

    The question does not say anything about what the y value can be. So a surprising choice would be f (x) = abs (x) + 3. This gives you a vertex at (0,3).

    A second choice (for the same reason) would be y = abs (x) - 6

    The third option can by y = abs (x) which is more in line with what you would expect.
  2. 16 October, 03:06
    0
    Answer: The correct functions are

    (A) f (x) = |x|.

    (B) f (x) = |x| + 3.

    (D) f (x) = |x| - 6.

    Step-by-step explanation: We are given to select he functions that have a vertex with a x-value of 0.

    We know that

    the vertex of the function f (x) = |x - a| + b is given by (a, b).

    Option (A) : f (x) = |x|.

    Here, the vertex is given by (0, 0). So, the x-value of the vertex is 0.

    This option is correct.

    Option (B) : f (x) = |x| + 3.

    Here, the vertex is given by (0, 3). So, the x-value of the vertex is 0.

    This option is correct.

    Option (C) : f (x) = |x + 3|.

    Here, the vertex is given by (-3, 0). So, the x-value of the vertex is - 3, not 0.

    This option is incorrect.

    Option (D) : f (x) = |x| - 6.

    Here, the vertex is given by (0, - 6). So, the x-value of the vertex is 0.

    This option is correct.

    Option (E) : f (x) = |x + 3| - 6.

    Here, the vertex is given by (-3, - 6). So, the x-value of the vertex is - 3, not 0.

    This option is incorrect.

    Thus, the correct functions are

    (A) f (x) = |x|.

    (B) f (x) = |x| + 3.

    (D) f (x) = |x| - 6.
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Home » Mathematics » Which functions have a vertex with a x-value of 0? Select three options. f (x) = |x| f (x) = |x| + 3 f (x) = |x + 3| f (x) = |x| - 6 f (x) = |x + 3| - 6
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