Question

A function g(x) is an absolute value function that has been shifted 2 units to the right and 3 units down.

Answer 1

The parent functuion is the absolute value funtion
$f(x) = |x|$
f(x+c) shifting to the left by c units
f(x-c) shifting to the right by c units
f(x)+c shifting up by c units
f(x)-c shifting down by c units
$g(x) = f(x - 2) - 2 = |x - 2| - 2$