piersondgaming07
Answered

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Which statements describe one of the transformations performed on f(x) = x² to create g(x)=3(x+5)² - 2? Choose all that apply. 1 A. A vertical stretch with a scale factor of 3 B. A translation of 5 units to the left C. A vertical stretch with a scale factor of 3 D. A translation of 2 units to the left​

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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