Suppose that G(X) = F(x+ 9). Which statement best compares the graph of
2 answers:
Answer: Option D
Step-by-step explanation:
By definition if we have a function F (x) and perform a transformation of the form

Then it is true that:
If c is negative the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the right
If c is positive, the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the left.
Note that in this case the transformation is:

Then
and 
Therefore the graph of G(x) will be equal to the graph of F(x) displaced horizontally <em>9 units to the left</em>
The answer is the option D.
ANSWER
D. The graph of G(x) is the graph of F(x) shifted 9 units to the left.
EXPLANATION
The given functions are F(x) and G(x).
The function, G(x) is obtain by translating or shifting the graph of F(x).
This translation is of the form.

The '+9' within the parenthesis tells us that the shift is 9 units to the left.
Remember that for horizontal shift:
+ means a shift to the left.
The correct answer is D.
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