Which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4? Shift f(x) = 3x one unit up and four units to the right. Shift f(x) = 3x one unit up and four units to the left. Shift f(x) = 3x one unit to the right and four units up. Shift f(x) = 3x one unit to the left and four units up.

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Answer:

Shift f(x) = 3x one unit to the left and four units up

Step-by-step explanation:

We need to translate :

  • f(x) = 3x ⇒ g(x) = 3x + 1 + 4

Here we need to use a bit of logic.

  • All of the options involve shifting the f(x) graph one unit and four units in various directions.
  • To shift the graph up by one by horizontal action, we need to move one unit left so the new equation is 3x + 1
  • To shift it up further by 4 vertically, we need to move four units up
  • Hence, our final function g(x) is given as :
  • g(x) = 3x + 1 + 4

Answer:

Shift f(x) = 3x one unit to the left and four units up

Step-by-step explanation:

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