Final answer:
To shift the graph of f(x) up 3 units and right 5 units, the formula for g(z) is g(z) = f(z - 5) + 3.
Step-by-step explanation:
To shift the graph of f(x) up 3 units and right 5 units, we can use the following formula for g(z):
g(z) = f(z - 5) + 3
This formula shifts the original graph of f(x) to the right by 5 units and then adds 3 to the y-coordinate of each point on the shifted graph. For example, if the point (2,4) is on the graph of f(x), the corresponding point on the graph of g(z) would be (7,7).