Question

The graph of the function `f(x)=abs(2x)` is translated 4 units down. What is the equation of the transformed function?

Answer 1

`f_t(x) = abs(2x)-4`

Explanation:

`f(x) = abs(2x)`

To transform `f(x)` 4 units down `f_t(x) = f(x)-4`

`f_t(x) = abs(2x)-4`

The graph of `f_t(x)` is shown below:

graph{abs(2x) -4 [-18.02, 18.03, -9.01, 9.01]}