Select the correct answer from the drop-down menu. f(x) = |x| and g(x) = |x| + 3 The transformation applied to get the graph of g(x) from the graph of f(x) is

Respuesta :

Answer:

The answer is move up 3. Or a vertical translation of 3 because when adding to f(x) its a vertical translation, and because 3 is positive, the translation is up, so move up 3 units, or a vertical translation of positive 3 is correct. Good luck, and follow/message me on Brainly for instant help on all subjects. I'm available all day. :)

Step-by-step explanation:


Answer:

The required transformation is vertical shift upward by 3 unit.

Step-by-step explanation:

Given : Functions f(x) = |x| and g(x) = |x| + 3

To find : The transformation applied to get the graph of g(x) from the graph of f(x) is ?

Solution :

Functions f(x) = |x| and g(x) = |x| + 3

When the graph y=f(x) transformed into y=f(x)+k

i.e. k unit is added on the function then there is a vertical shift in upward direction.

So, The function f(x)=|x| transformed into f(x)=|x|+3

i.e. 3 unit is added on the function then there is a vertical shift in upward direction.

Therefore, The required transformation is vertical shift upward by 3 unit.

Refer the attached figure for the transformation.

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