Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

what is the equation of the function y=3/x translated 4 units up and three units to the left

Sagot :

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

#SPJ1