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Which statements describe one of the transformations performed on f(x)=x^2 to create g(x)=3(x+5)^2-2 Choose all correct answers A a translation 5 units to the left B a vertical stretch with a scale factor of 1/3 C a vertical stretch with a scale factor of 3 D a translation of 2 units to the left

Respuesta :

Given:

The original function is

[tex]f(x)=x^2[/tex]

The transformed function is

[tex]g(x)=3(x+5)^2-2[/tex]

Required:

To choose the correct statement for the given transformation.

Explanation:

Consider the transformed function

[tex]g(x)=3(x+5)^2-2[/tex]

The option, a translation 5 units to the left and a vertical stretch with a scale factor of 3 is correct.

Final Answer:

The correct option is,

A

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