### Home > PC3 > Chapter 8 > Lesson 8.1.2 > Problem8-36

8-36.

Graph $f(x)=\frac{1}{x-4}-3$. What is the parent equation of $f$ ? Describe the transformation completely.

This is a rational function.
The horizontal asymptote occurs when the denominator equals $0$.
The horizontal asymptote is the end behavior, or what happens when $x$ becomes very large.