Question

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

Answer 1

Answer:

$g(x) = x - 11$

Step-by-step 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