Nenebellen1978
contestada

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

Respuesta :

sqdancefan

Answer:

  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

tylerflorida34638
D) g(x) = |x + 6| - 2

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