contestada

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

a) f(x)= √x; g(x)= √3x -1
b) f(x)=[tex]x^4[/tex]; g(x)= [tex]2(x-3)^4[/tex]

Respuesta :

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 https://brainly.com/question/4521517

#SPJ1

Otras preguntas