Question

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

What is the equation of the transformed function?

Answer 1

Translating a graph upwards just means adding or subtracting a value from the initial function.

So to push a graph up, you just add (+) the number of units onto the original function.

Answer 2

Start with the parent function, y=|ax|+b.
In this case, a=3, and b=0.
In order to translate a function up, you must add to b.

The new equation is:

f(x)=|3x|+4
:)