Answer: The equation of the new function is 
Step-by-step explanation: We are given to find the equation of the new function if we apply the following changes to the absolute value parent function f(x)=lxl :
Shift 4 units left and Shift 2 units up.
We know that
if we shift the absolute value parent function f(x) = |x| to h units left and k units up, then the new equation will be

Therefore, if the function is shifted 4 units left and 2 units up, then the equation of the new function will be

Thus, the equation of the new function is 