Question

Suppose that G(x) = F(x + 4) + 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 4 units to the left and 2 units down.B. The graph of G(x) is the graph of F(x) shifted 4 units to the right and 2 units up.C. The graph of G(x) is the graph of F(x) shifted 4 units to the right and 2 units down.D. The graph of G(x) is the graph of F(x) shifted 4 units to the left and 2 units up.

Answer 1

Answer:

The answer is:

the graph of G(x) is the graph of F(x) shifted 4 units to the left and 2 units up.

Step-by-step explanation:

Answer 2

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 left and 2 units up.

How to compare the G(x) graph with the F(x) graph?

Given:

• The graph G(x) = F(x+4)+2
• Four statements are given in the options.

Find:

• The statement that best compares the graph of G(x) with the graph of F(x).

Solution:

As we know that if in a graph F(x) is there.

If we add x+ something in it So in the graph it results in shifting towards the left.

And if we add F(x) + something then it results in shifting the units up.

So, The statement that best compares the graph is the graph of G(x) is the graph of F(x) shifted 4 units to the left and 2 units up.

Hence, Option D is the correct answer.

To learn more about graphs, refer to:

https://brainly.com/question/2164928

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