### Home > INT3 > Chapter 3 > Lesson 3.1.3 > Problem3-52

3-52.

Graph and completely describe the function $y=4\left(\frac{1}{x+5}\right)+7$.

This is a rational function. What does the parent graph of a rational function look like?

The horizontal asymptote is $y=7$.

The vertical asymptote is $x=−5$.