Suppose that g(x) = f(x – 8). 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 8 units to the left.
B. The graph of g(x) is the graph of f(x) shifted 8 units down.
C. The graph of g(x) is the graph of f(x) shifted 8 units up.
D. The graph of g(x) is the graph of f(x) shifted 8 units to the right.

Respuesta :

D. The graph of g(x) is the graph of f(x) shifted 8 units to the right.

The graph of g(x) is the graph of f(x) shifted 8 units to the right.

Option D is correct.

What is shifting of a function?

A shift is a rigid translation in that it does not change the shape or size of the graph of the function. All that a shift will do is change the location of the graph. A vertical shift adds/subtracts a constant to/from every y-coordinate while leaving the x-coordinate unchanged.

According to the question

g(x) = f(x – 8)

If the function is shifted to the left it is going to plus(+).

If the function is shifted to the right it is going to minus(-).

Hence, The graph of g(x) is the graph of f(x) shifted 8 units to the right.

Option D is correct.

Find out more information about shift here

brainly.com/question/11943912

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