Ask Question
21 May, 03:55

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

+4
Answers (2)
  1. 21 May, 04:30
    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. 21 May, 05:38
    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.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “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) ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers