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

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Answer 1 · 2016-12-08T00:25:51

$f_{t} (x) = | 2 x | - 4$ $f_t(x) = abs(2x)-4$

$f (x) = | 2 x |$ $f(x) = abs(2x)$

To transform $f (x)$ $f(x)$ 4 units down $f_{t} (x) = f (x) - 4$ $f_t(x) = f(x)-4$

$f_{t} (x) = | 2 x | - 4$ $f_t(x) = abs(2x)-4$

The graph of $f_{t} (x)$ $f_t(x)$ is shown below:

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

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