Question

What is the effect on the graph of f(x) = when it is transformed tog(x) =-7?xA. The graph of f(x) is shifted 7 units to the left.OB. The graph of f(x) is shifted 7 units down.C. The graph of f(x) is shifted 7 units up.D. The graph of f(x) is shifted 7 units to the right.SUBMI

Answer 1

Given the Parent Function (the simplest form) of a Rational Function:

$f(x)=\frac{1}{x}$

You know that it is transformed to this function:

$g(x)=\frac{1}{x}-7$

According to the Transformation Rules for Functions:

1. When:

$f(x)+k$

The function is shifted "k" units up.

2. When:

$f(x)-k$

The function is shifted "k" units down.

In this case, you can identify that the transformation has this form:

2. When:

$f(x)-k$

Where:

$k=7$

Hence, the answer is: Option B.