Question

F(x) = x - 5, translated 6 units to the right.

Answer 1

`g(x) = x - 11`

Explanation:

Given

`f(x) = x - 5`

Required

Translate to the right by 6 units

When a function is translated to the right, the resulting function becomes

`g(x) = f(x - h)`

Where h is the number of units moved;

Since; h = 6

`g(x) = f(x - h)`

becomes

`g(x) = f(x - 6)`

Solving for f(x - 6);

`f(x) = x - 5`

Substitute x - 6 for x

`f(x - 6) = x - 6 - 5`

`f(x - 6) = x - 11`

This implies that
`g(x) = x - 11` is the result of the translation