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3 March, 01:14

Translate ƒ (x) = |x| so that it's translated down by 2 units and to the left 6 units. What's the new function g (x) ? A) g (x) = |x - 6| + 2

B) g (x) = |x - 6| - 2

C) g (x) = |x + 6| + 2

D) g (x) = |x + 6| - 2

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Answers (2)
  1. 3 March, 04:19
    0
    D) g (x) = |x + 6| - 2
  2. 3 March, 05:01
    0
    D) g (x) = |x + 6| - 2

    Step-by-step explanation:

    To translate f (x) h units to the right and k units up, you use the transformation ...

    g (x) = f (x - h) + k

    You want to translate your function 6 units left and 2 units down, so (h, k) = (-6, - 2) and the transformed function is ...

    g (x) = |x + 6| - 2
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