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 Fx) shifted 2 units to the left.
B. The graph of GX) is the graph of F(x) shifted 2 units down
C. The graph of G(X) is the graph of Fx) shifted 2 units to the right.
O D. The graph of G(x) is the graph of Fix) shifted 2 units up.

If you have to add 2 to X to get it back to the original, it started out 2 to the left. (It would seem like it ought to be C, but when you add an subtract from the x value in functions, it's opposite of what you might think.)

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sheenuvt12 sheenuvt12 · Answer 2 · 2022-07-18T08:14:36+02:00

The graph of G(x) is the graph of F(x) shifted 2 units up.

The correct option is (D)

What is a function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given function:

G(X) = F(x + 2)

As, the value of the function for a given x is the vertical position of the point on the graph.

and, by adding 2 to the function shifts the value in the graph up by 2 units.

Hence, The graph of G(x) is the graph of F(x) shifted 2 units up.

Learn more about this concept here:

https://brainly.com/question/13569682

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