Question

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

Answer 1

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

$y = \frac{3}{x + 3} + 4$

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:

$y = \frac{3}{x}$

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:

$y = \frac{3}{x + 3} + 4$

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

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