Question

Describe the transformations necessary to transform f(x) into g(x)

Answer 1

Using translation concepts, the transformations are given as follows:

a) The function is horizontally compressed by a factor of 3 and shifted down one unit.

b) The function is shifted right 3 units and vertically stretched by a factor of 2.

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.

Item a:

The transformations are:

• x -> 3x, hence the function is horizontally compressed by a factor of 3.

• y -> y - 1, hence the function is shifted down one unit.

Item b:

The transformations are:

• x -> x - 3, hence the function is shifted right 3 units.

• y -> 2y, hence the function is vertically stretched by a factor of 2.

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

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