Question

On the coordinate grid, the graph of y= 3/x-1+3 is shown. it is a translation of y =3/x

Answer 1

1 unit right and 3 units up

Explanation:

The graph of the given function has equation

`f : y = (3)/(x - 1) + 3`

This is obtained after translating the graph of

`g : y = (3)/(x)`

We can rewrite f in terms g to obtain:

`f(x) = g(x - 1) + 3`

This is a shift to the right by 1 unit and and a shift up by 3 units.

Therefore

`y = (3)/(x - 1) + 3`

is a translation of

`y = (3)/(x)`

1 unit right and 3 units up