2
ALMultiple Choice

Families of Graphs

Question 2 • IASD Precalculus 2nd Quarter - Wingerter 2025-26

The graph of y = f(x − 3) is a _____ of the graph of y = f(x).

Answer
A
translation of 3 units to the right
B
translation of 3 units up
C
scale change of the output by a factor of −3
D
scale change of the input by a factor of 3

Explanation

Replacing x with x − 3 shifts the graph horizontally 3 units to the right. For example, a point where f(x) has a particular value at x = a appears at x = a + 3 in f(x − 3). Therefore, the graph is a translation of 3 units to the right.

AI-written and checked against the verified answer.

Previous
Next