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Sagot :
These following translations happened to transform f(x) into g(x):
- A. vertical stretch with a scale factor of 3.
- B. A translation of 5 units to the left.
- E. A translation of 2 units down.
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the functions are as follows:
- f(x) = x².
- g(x) = 3(x + 5)² - 2.
The changes were as follows:
- x -> x + 5, hence a shift of 5 units left.
- Multiplication by 3, hence a vertical stretch with a scale of 3.
- y -> y - 2, hence shifted 2 units down.
More can be learned about translations at https://brainly.com/question/4521517
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