According to the given asymptotes, the equation for the translation of the function is:
[tex]y = \frac{4}{x - 2} + 2[/tex]
What are the asymptotes of a function f(x)?
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
In this problem, the function is:
[tex]y = \frac{4}{x}[/tex]
The vertical and horizontal asymptotes are, respectively, given by: x = 0, y = 0.
To have the desired asymptotes, the function has to be shifted 2 units to the right and 2 units up, hence it is given by:
[tex]y = \frac{4}{x - 2} + 2[/tex]
More can be learned about translations at https://brainly.com/question/4521517
