The function g(x) that was translated to the function f(x) is seen to be; D: g(x) = ∛(x - 4) - 3
How to Interpret Function Transformations?
Translation in transformations simply means moving an object from one point to another without changing any dimension.
Now, For a function f(x) that undergoes translation, we know that;
A horizontal translation to the right of n units is written as:
f(x - n)
A vertical translation up of n units is written as:
f(x) + N.
Now, from the given graph we can deduce that;
The function g(x) is 4 units to the right of f(x) and 3 units below f(x).
Thus, we now have:
g(x) = f(x - 4) - 3.
Thus;
f(x) = ∛x
Therefore, g(x) = ∛(x - 4) - 3
Looking at the given options, the one that has the correct answer is Option D.
Read more about Function Transformations at; https://brainly.com/question/4289712
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