Question

The parent function is translated 4 units down. What is the equation of the translated function?

A) f(x) = 2x - 4
B) f(x) = 2x + 4
C) f(x) = 2x - 2
D) f(x) = 2x + 2

Answer 1

The equation of the translated function is f(x) = 2x - 4 (option A).

Step-by-step explanation:

The equation that represents a translation of the parent function 4 units down is f(x) = 2x - 4 (option A).

To translate a function 4 units down, we subtract 4 from the original function's y-coordinate (f(x)). In this case, the original function is f(x) = 2x.

For example, if we have a point (x, y) on the original function, the translated point would be (x, y-4). So, the translated function is represented by f(x) = 2x - 4.