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 thr graph of G(x) is the graph​ of F(x) shifted 2 units down 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 to the left

Answer 1

Answer: shifted 2 units up

Step-by-step explanation:

Ape

Answer 2

Answer:

Last option is the correct answer:

The  graph of G (x) is the graph of f(x) shifted 2 units to the left

Step-by-step explanation:

We know that for any parent function f(x) the graph of the transformed function:

$g(x)=f(x+a)$

is a shift of the the parent function f(x) either to the left or the right depending on the value of a.

if a>0 then the shift is 'a' units to the left

and if a<0 then the shift is 'a' units to the right.

Here we have transformed function G(x) as:

$G(x)=F(x+2)$

i.e. a=2>0.

Hence, the  graph of G (x) is the graph of f(x) shifted 2 units to the left.