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.

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