Respuesta :

Using translation concepts, the function after the changes will be given by:

f(x) = 3(x - 4) + 1.

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.

In this problem, the parent function is given by:

h(x) = x.

The translations are as follows:

  • 1 unit up, hence h(x) -> h(x) + 1.
  • 4 units right, hence x -> x - 4.
  • Vertical stretch by a factor of 3, hence h(x) -> 3h(x).

Hence the translated function is given by:

f(x) = 3(x - 4) + 1.

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

#SPJ1

Otras preguntas