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Andre45 [30]
3 years ago
6

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) i

s 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.
Mathematics
2 answers:
vesna_86 [32]3 years ago
8 0

Answer: 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,

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

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

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:

<h3>C. The graph of G(x) is the graph of F(x) shifted 8 units to the left and 4 units up.</h3>
Inessa05 [86]3 years ago
3 0
F(x) is the answer is that the number is 8
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