Question

In Exercise, describe how the graph of g is related to the graph of f.
g(x) =f(x-1)

Answer 1

Graph of
`f(x)` is shifted to right by one unit to get graph of
`g(x)`.

Explanation:

We have been given a relation between two functions as:
`g(x)=f(x-1)`.We are asked to describe the relation between the graph of g is related to f(x).

We will use transformation rules to answer our given problem as:

`h(x-a)\Rigtharrow` Graph of
`h(x)` shifted to the right by 'a' units.

`h(x+a)\Rigtharrow` Graph of
`h(x)` shifted to the left by 'a' units.

`h(x)+a\Rigtharrow` Graph of
`h(x)` shifted upwards by 'a' units.

`h(x)-a\Rigtharrow` Graph of
`h(x)` shifted downwards by 'a' units.

Upon looking at our given relation, we can see that graph of
`f(x)` is shifted to right by one unit to get graph of
`g(x)`.