Here we have a problem with translations, where translations are operators that act on functions and move the whole graph of the function in some given direction.
Sadly, the options for this question are missing, so I will answer in a general way and will post a graph at the end of the answer.
We should start by defining the translation used here.
Horizontal translation:
For a general function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
- If N is positive, the translation is to the left.
- If N is negative, the translation is to the right.
Here we have that the original function is f(x) = |x|, and the translated function is g(x) = |x + 2|
Then we have:
g(x) = f(x + 2).
We can conclude that this is a translation of 2 units to the left.
The graph of the two equations can be seen below:
If you want to learn more, you can read:
https://brainly.com/question/24401156
