Answer :
To find an equation for each translation, keep in mind this:
f(x); g(x)=f(x)+a, the function is translated a units up.
f(x); g(x)=f(x)-a, the function is translated a units down.
Use this information to find the equation for each translation.
4 units up - Add 4 units to the function:
[tex]y=\lvert x\rvert+4[/tex]7 units down - Substract 7 units to the function:
[tex]y=\lvert x\rvert-7[/tex]Those are the answers for each translation.