Respuesta :

Using translation concepts, it is found that the equation of the function after the changes is given by:

[tex]y = \frac{3}{x + 3} + 4[/tex]

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.

In this problem, the parent function is given by:

[tex]y = \frac{3}{x}[/tex]

Then, these following changes happened:

  • Shift left of 3 units, which means that x -> x + 3.
  • Shift up of 4 units, which means that y -> y + 4.

Hence, the equation of the function after the changes is given by:

[tex]y = \frac{3}{x + 3} + 4[/tex]

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

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