Question

Write a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 6 units and to the right 11 units.

Answer 1

Answer:

Explanation:

When f(x) is shifted down 6 units, the transformation mapping is:

$f(x)\to f(x)-6$

Next, if the result is shifted to the right 11 units, we have:

$f(x)-6\to f(x-11)-6$

Given that f(x)=|x|, the formula for g(x) is given below:

$\begin{gathered} f(x)=|x| \\ \implies g(x)=f(x-11_{})-6 \\ \implies g(x)=|x-11|-6 \end{gathered}$

The formula for g(x) is