Question

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.

Answer 1

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).

$G(x)=F(x)-7$

We have to find which statement best compares the graph of G(x)  with the graph of F(x).

Suppose

F(x)=x[/tex]

G(x)=x-7

When we substitute x=1

Then, F(x)=1

G(x)=1-7=-6

It 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.