Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g. g(x) = f(x − 3) + 4

The correct option is D

D) The graph of function f(x) is shifted right 3 units and up 4 units

Step-by-step explanation:

Lets the function be y = f(x)

To shift the graph 3 units to the right, we add -3 to the x term of the function:

Function becomes y' = f(x-3)

Then to shift the graph up by 4 units, we add -4 to the y term of the function:

Function becomes:

y - 4 = f(x-3)

y = f(x-3) +4

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

Hence the correct option is D, as the graph is shifted to the right by 3 units and also shifted up by 4 units