f(x)=x+2; translation 2 units to the left

Question

I need help answering the questions. I am struggling with this. Please help me.

Answer 1

Here is how to answer this type of question:

 

If you want to translate "a" units to the right (a > 0), replace x with x - a in f(x). 

If you want to translate "a" units to the left (a > 0), replace x with x + a in f(x).

 

In this question, you want to translate 2 units to the left, so replace x with x + 2 in f(x).

 

f(x) = x + 2 → g(x) = (x + 2) + 2 = x + 4