Question

The graph of xy=4 is translated down 3 units and to the left 5 units.

Answer 1

The translated function can be written as g(x) = 4/(x + 5) - 3.

How to find the translated equation?

Here we have:

x*y = 4

Solving this for y, we get:

y = 4/x

Now, for a general function y = f(x), a t ranslation down of 3 units is given by:

g(x) = f(x) - 3

And a translation of 5 units to the left we get:

g(x) = f(x + 5)

The two translations give:

g(x) = f(x + 5) - 3

Replacing the given function we get:

g(x) = 4/(x + 5) - 3