creepypasta2002
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Given that f(x) = |x| is the parent of g(x) = |x−2|+1 what transformations have occurred on the graph from f(x) to g(x)? Question 2 options:
Horizontal shift Left 2 and a Vertical shift Up 1.
Horizontal shift Right 2 and a Vertical shift Down 1.
Horizontal shift Right 2 and a Vertical shift Up 1.
Horizontal shift Left 2 and a Vertical shift Down 1.

Answer :

Answer:

Horizontal shift Right 2 and a Vertical shift Up 1.

Step-by-step explanation:

Given that f(x) = |x| is the parent of g(x) = |x−2|+1

g(x)= |x=2|+1

Now we compare it with f(x)

+1 is added at the end

when any number is added at the end then there will be a vertical shift up

when any number is subtracted at the end then there will be a vertical shift down

Here 1 is added at the end , so vertical shift up by 1 unit

If any number added with x , there will be a horizontal shift to the  left

If any number subtracted  with x , there will be a horizontal shift to the right

In g(x) , 2 is subtracted with x  , so horizontal shift 2 units to the right

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