Given the function
[tex]f(x)=|x|[/tex]
Then, the function is shifted down 3 units means you subtract 3 to f(x).
[tex]f(x)=|x|-3[/tex]
And the function is shifted to the right 1 unit means you subtract 1 from the argument of f(x), this is "x". Therefore, the new function is:
[tex]f(x)=|x-1|-3[/tex]
Answer:
[tex]f(x)=|x-1|-3[/tex]
