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

D

Step-by-step explanation:

Because its shifted right 3

because when its inside the sign changes. like if its + 4 its going left/-4 going right if its inside only