Given the Parent Function (the simplest form) of a Rational Function:
[tex]f(x)=\frac{1}{x}[/tex]
You know that it is transformed to this function:
[tex]g(x)=\frac{1}{x}-7[/tex]
According to the Transformation Rules for Functions:
1. When:
[tex]f(x)+k[/tex]
The function is shifted "k" units up.
2. When:
[tex]f(x)-k[/tex]
The function is shifted "k" units down.
In this case, you can identify that the transformation has this form:
2. When:
[tex]f(x)-k[/tex]
Where:
[tex]k=7[/tex]
Hence, the answer is: Option B.
