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:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~