Question

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

Answer 1

Given:

The original function is

$f(x)=x^2$

The transformed function is

$g(x)=3(x+5)^2-2$

Required:

To choose the correct statement for the given transformation.

Explanation:

Consider the transformed function

$g(x)=3(x+5)^2-2$

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