Question

Using the graph of f(x)= 1/x as a starting point, describe the transformations to get to `g(x) = 1/x-4`?

Answer 1

It is a translation.

Explanation:

Graphically, in order to get `g(x)`, you have to "push down" the graph of `f`, which means substracting a positive quantity to `f`. It's quite visible on those 2 graphs.

Graph of `g` :graph{1/x - 4 [-10, 10, -7.16, 2.84]}

Graph of `f` : graph{1/x [-10, 10, -4.68, 5.32]}