Q:

Suppose that G(x) = F(x) - 7. 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 7 units to the left.B. The graph of G(x) is the graph of F(x) shifted 7 units down.C. The graph of G(x) is the graph of F(x) shifted 7 units up.D. The graph of G(x) is the graph of F(x) shifted 7 units to the right.

Accepted Solution

A:
Answer:A.The graph of G(x) is the graph of F(x) shifted 7 units to the left.Step-by-step explanation:We are given that two functions G(x) and F(x).[tex]G(x)=F(x)-7[/tex]We have to find which statement best compares the graph of G(x)  with the graph of F(x).SupposeF(x)=x[/tex]G(x)=x-7When we substitute x=1Then, F(x)=1G(x)=1-7=-6It means when F(x) shift 7 units towards left then we get the value as the value of G(x).Hence, the graph of G(x) is the graph of F(x) shifted 7 units to the left .Answer:A.The graph of G(x) is the graph of F(x) shifted 7 units to the left.