Question

The graph of the function y equals 3 divided by x is shown on the left. The graph on the right is the same graph translated right three units and up three units. What is the equation of the graph on the right?

Answer 1

y = 3/(x-3) +3

Explanation:

Translation of a function to the right by "a" units is accomplished by replacing "x" with "x-a".

Translation of a function up "a" units is accomplished by replacing f(x) with f(x)+a.

Here, you want to translate up and to the right by 3 units, so you will have ...

... f(x-3) +3

When y = f(x) = 3/x, the new equation is ...

... y = 3/(x-3) +3