Question

F(x)=|x+1|-1 vertical stretch by a factor of three Translated function is g(x)=____

Answer 1

The translated function is given by:

g(x) = 3|x + 1| - 3.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

f(x) = |x + 1| - 1.

For a vertical stretch by a factor of 3, the function is multiplied by 3, hence the translated function is given by:

g(x) = 3f(x) = 3(|x + 1| - 1) = 3|x + 1| - 3.

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

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