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QUESTION IMAGE

complete the sentence below. suppose that the graph of a function f is …

Question

complete the sentence below.
suppose that the graph of a function f is known. then the graph of y = f(x - 2) may be obtained by a
shift of the graph of f
to the right a distance of 2
units.
suppose that the graph of a function f is known. then the graph of y = f(x - 2) may be obtained by a
shift of the graph of f
to the right a distance of 2
units.

Explanation:

Brief Explanations

For a function \(y = f(x)\), the transformation \(y=f(x - h)\) represents a horizontal shift. When \(h>0\), the graph of \(y = f(x)\) is shifted \(h\) units to the right. In the case of \(y = f(x-2)\), \(h = 2>0\).

Answer:

horizontal, 2