Suppose that G(x) = F(x + 2). Which statement best compares the graph of G(x) with the graph of F(x)?

A. The graph of G(x) is the graph of F(x) shifted 2 units to the right.
B. The graph of G(x) is the graph of F(x) shifted 2 units to the left.
C. The graph of G(x) is the graph of F(x) shifted 2 units up.
D. The graph of G(x) is the graph of F(x) shifted 2 units down.

Question

Suppose that G(x) = F(x + 2). Which statement best compares the graph of G(x) with the graph of F(x)?

 		A.	The graph of G(x) is the graph of F(x) shifted 2 units to the right.
 		B.	The graph of G(x) is the graph of F(x) shifted 2 units to the left.
 		C.	The graph of G(x) is the graph of F(x) shifted 2 units up.
 		D.	The graph of G(x) is the graph of F(x) shifted 2 units down.

mathmale · Answer

If all else fails, you could sketch a sample graph F(x) or G(x) and then determine visually the position of the graph of G(x) with respect to the graph of F(x).

Consider that if you are given f(x) and its graph, then the graph of f(x-a) has the same shape as does that of f(x), but is shifted a units to the right.