Question

Write a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 8 units and to the right 12 units

Answer 1

We have

`f(x)=|x|`

For a shift down 8 units, we need to subtract 8 units to the function and for the shift to the right 12 units we need to subtract 12 units to the x

Therefore g(x) is

`g(x)=|x-12|-8`

ANSWER

g(x)=|x-12|-8