2. Explain how the graph of x > 5 is different from the graph of x 5.
1 answer:
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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.