Question

Write a formula for the function of tamed when the graph is shifted as described below

Answer 1

Given the function

$f(x)=|x|$

Then, the function is shifted down 3 units means you subtract 3 to f(x).

$f(x)=|x|-3$

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:

$f(x)=|x-1|-3$

Answer:

$f(x)=|x-1|-3$