Find g (x) if g (x) is the resulting function from moving f (x) = (x + 2) right 3 units and up 4 units.

g (x) = (x + 5) + 4

g (x) = (x - 1) + 4

g (x) = (x + 4) + 5

g (x) = (x + 4) + 3

When graph is shifted a unit right, graph is transformed from f (x) to f (x-a) and when graph is shifted a unit upward, graph is transformed from f (x) to f (x) + a.

Therefore, in this question,

g (x) = (x+2-3) + 4 = (x-1) + 4