f(x)=3-|x-2|; translation 2 units left

Question

How to form into the grandchild & graph it. Use formula g(x)=f(x-2)

Answer 1

f(x) = 3 - |x-2|

 

If you are translating 2 units to the left, then g(x) = f(x+2), not f(x-2):

 

g(x) = f(x+2) = 3 - |x-2+2| = 3 - |x|