Question

Which of the following transformations have been applied to the function f(x) = |x-4|?

A) Translation 4 units to the right
B) Reflection across the x-axis
C) Vertical compression
D) Horizontal stretch by a factor of 4

Answer 1

The function f(x) = |x-4| has been translated 4 units horizontally to the right side of the coordinate system.

Step-by-step explanation:

The function f(x) = |x-4| represents an absolute value function that has been translated 4 units horizontally to the right side of the coordinate system.

This is because in the context of functions and their transformations, when we see f(x - d), it indicates a translation of the parent function f(x) horizontally to the right by d units. In this case, the function f(x) = |x-4| is the absolute value function translated 4 units to the right, which aligns with the function f(x-d) where d is equal to 4.