move a graph c units to right, minus c from every x
move a graph c units up, add c to every x
so basically
move 5 left means move -5 right or minus -5 from every x or add 5 to every x
move 3 up means add 3 to whole function
basically add 5 to every x and 3 to the whole function
example
if you had y=mx+b, then the translated function would be y=m(x+5)+b+3