Question

If f(x) = x3, which of the following describes the graph of f(x − 3)?
The graph of f(x − 3) is a vertical shift of f(x) = x3 three units up.
The graph of f(x − 3) is a vertical shift of f(x) = x3 three units down.
The graph of f(x − 3) is a horizontal shift of f(x) = x3 three units to the right.
The graph of f(x − 3) is a horizontal shift of f(x) = x3 three units to the left.

Answer 1

hello:
The graph of f(x − 3) is a horizontal shift of The graph f(x) =x^3  of three units to the right

The graph of f(x) =x^3 color red

The graph of f(x − 3)  color bleue

Answer 2

Answer: The answer is (C) The graph of f(x − 3) is a horizontal shift of f(x) = x³ three units to the right.

Step-by-step explanation: We are to describe the graph of f(x-3) if f(x) = x³. We are drawn the graphs of f(x) and f(x-3) in the attached figure.

We can easily see that the graph of f(x-3) is shifted horizontally three units to the right from the graph of f(x).

Therefore, the correct option is (C) The graph of f(x − 3) is a horizontal shift of f(x) = x³ three units to the right.