Answer:
The correct option is A. The graph of g(x) is the graph of f(x) shifted 4 units to the right
Step-by-step explanation:
The graph of g(x) is given equal to f(x - 4)
We need to give the statement that best compares the graph of g(x) with the graph of f(x)
Now, f(x - 4) states that the graph of g(x) is shifted 4 units to the right as compared to the graph of f(x)
Therefore, The statement that best compares the graph of g(x) with the graph of f(x) is : The graph of g(x) is the graph of f(x) shifted 4 units to the right
Hence, The correct option is A. The graph of g(x) is the graph of f(x) shifted 4 units to the right
Answer:
Option A.
Step-by-step explanation:
The translation is defined as
[tex]G(x)=F(x+a)+b[/tex] .... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that
[tex]G(x)=F(x-4)[/tex] .... (2)
On comparing (1) and (2) we get
a=-4<0, So the graph of G(x) is the graph of F(x) shifted 4 units to the right.
Therefore, the correct option is A.
