Question

The graph of the funxtion f(x)=|3x| is translated 4 units up. What is the equation of the transformed function

Answer 1

Answer:

$g(x)=|3x|+4$

Step-by-step explanation:

Let the transformed function be $g(x)$.

Given:

The parent function given is:

$f(x)=|3x|$

Now, the above function is translated up by 4 units.

As per the rules of transformations, if a graph of a function is translated vertically up by 'C' units, then the rule for the transformation is given as:

$f(x)\rightarrow f(x)+C$

So, 4 units will be added to the given function to get the transformed function. Therefore,

$g(x)=f(x)+4\\g(x)=|3x|+4$

Hence, the transformed function of $f(x)=|3x|$ is given as $g(x)=|3x|+4$.