Answer:
f(x) has been translated to the right one and down five.
Step-by-step explanation:
Given
[tex]g(x)=f(x-1)-5[/tex]
Required
Determine the transformation
Taking the analysis one at a time
The relationship between f(x) and f(x - h) is that f(x) is translated h units to the right
So, when f(x) becomes f(x-1), it is as a result of f(x) being translated 1 unit to the right
The relationship between f(x) and f(x) - h is that f(x) is translated h units downwards
So, when f(x - 1) becomes f(x - 1) - 5, it is as a result of f(x - 1) being translated 5 units downwards.
Hence, option 2 answers the question
