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

a. the graph of function f is shifted right 3 units and down 4 units.

b. the graph of function f is shifted left 3 units and down 4 units.

c. the graph of function f is shifted left 3 units and up 4 units.

d. the graph of function f is shifted right 3 units and up 4 units.

The graph of function f is shifted right 3 units and up 4 units.

Step-by-step explanation:

Let f(x) be the parent function.

Rule : f(x)→f(x-b)

The graph shifts right by b units

So, shift the parent graph by 3 units

So, f(x)→f(x-3)

So, the graph shifted right by 3 units

Rule : f(x)→f(x)+b

The graph shifts up by b units

Now shift the obtained graph up by 4 units

So,  f(x-3)→f(x-3)+4

So, the graph shifts up by 4 units

Thus Option D is correct.

The graph of function f is shifted right 3 units and up 4 units.

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

Thus

step-by-step explanation:

the answer is 128