Answer:
2nd statement describes the relation between graph of f(x) and graph of g(x).
Step-by-step explanation:
We are told that graph of [tex]g(x)=f(x)-1[/tex] and we are asked to choose the correct statement that describes the relation between graph of f(x) and graph of g(x).
The rules for the translation are as follows:
[tex]f(x-h)=\text{Graph shifted to right by h units}[/tex]
[tex]f(x+h)=\text{ Graph shifted to left by h units}[/tex]
[tex]f(x)+h=\text{ Graph shifted upward by h units}[/tex]
[tex]f(x)-h=\text{ Graph shifted down by h units}[/tex]
Upon comparing our given translation with above rules we can see that our parent graph f(x) is shifted down by 1 unit to get our new graph g(x).
Therefore, graph of g(x) is the graph of f(x) translated 1 unit down and 2nd option is the right choice.
