Question

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​

Answer 1

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 brainly.com/question/4521517

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