Question

Function g can be thought of as a scaled version of f ( x ) = ∣ x ∣

Answer 1

Using translation concepts, it is found that the equation for function g(x) is given by:

$y = -\frac{2}{3}|x|$

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.

The parent function is given by:

f(x) = |x|.

Researching the problem on the internet, function g(x) was reflected over the x-axis, and compressed by a factor of 2/3, hence it is multiplied by -2/3(negative due to the reflection), and the equation for function g(x) is given by:

$y = -\frac{2}{3}|x|$

More can be learned about translation concepts at https://brainly.com/question/4521517

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