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

Dec 8, 2016

${f}_{t} \left(x\right) = \left\mid 2 x \right\mid - 4$

Explanation:

$f \left(x\right) = \left\mid 2 x \right\mid$

To transform $f \left(x\right)$ 4 units down ${f}_{t} \left(x\right) = f \left(x\right) - 4$

${f}_{t} \left(x\right) = \left\mid 2 x \right\mid - 4$

The graph of ${f}_{t} \left(x\right)$ is shown below:

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