Suppose that g(x) = f(x + 8) + 4. which statement best compares the graph of g(x) with the graph of f(x)? a. the graph of g(x) is the graph of f(x) shifted 8 units to the right and 4 units down. b. the graph of g(x) is the graph of f(x) shifted 8 units to the left and 4 units down. c. the graph of g(x) is the graph of f(x) shifted 8 units to the left and 4 units up. d. the graph of g(x) is the graph of f(x) shifted 8 units to the right and 4 units up.

C. The graph of G(x) is the graph of F(x) shifted 8 units to the left and 4 units up.

Step-by-step explanation: We have parent function F(x).

And G(x) = F(x+8) + 4.

We need to determine the transformations being applied in F(x) to get G(x).

According to rules of transformations,

y = f(x+C)  the function f(x) is being shifted C units left.

And for y = f(x) + D, the function f(x) is being shifted D units up.

In the given function  G(x) = F(x+8) + 4 the value of C is 8 and value of D is 4.

Therefore,

F(x) is being shifted 8 units left and 4 units up.

Therefore, correct option is:

where are the options?

step-by-step explanation: