if g(x) is the graph of f(x) shifted up 3 units and right 1 units, write a formula for g(x)

Answer 1

Shifted up 3 units means you add 3 to f(x). Shifted right 1 unit means you subtract 1 from the argument of f(x) (i.e. from x).

g(x) = f(x - 1) + 3