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Answer: 
Step-by-step explanation:
Given the following function:

You need to follow these steps in order to solve the exercise:
1. Substitute
:

2. Now you need to apply the Quadratic formula. This is:

In this case, you can identify that:

Then, you can substitute these values into the formula:

3. Evaluating, you get:

4. You must choose the positive value. Then:

The transformations which map f(x) to g(x) according to the equation are; Translation of f(x) 2 units to the left and 3 units upwards.
<h3>Which translations maps f(x) to g(x)?</h3>
The equation given in the task content is as follows;
It therefore follows that the transformations which would produce function g(x) from f(x) involves a 2 units translation to the left and a 3 units translation upward.
Remarks:
The complete question requires that the transformations from f(x) to g(x) be identified.
Read more on transformations;
brainly.com/question/2689696
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