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 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 a distance of 2 units.

Explanation:

Step1: Recall function transformation rules

For a function \(y = f(x)\), the transformation \(y=f(x - h)\) represents a horizontal shift.

Step2: Determine the direction of the shift

If \(h>0\), the graph of \(y = f(x)\) is shifted to the right by \(h\) units. In the function \(y = f(x - 2)\), \(h = 2>0\).

Answer:

to the right