Translation 5 left and 3 up

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