###### Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

#### Next video playing in 10

Introduction to Rational Functions - Problem 5

# Introduction to Rational Functions - Problem 4

Alissa Fong
###### Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

Share

The most basic graph of a rational function, y = 1/x , has two "branches" and two boundary lines, or asymptotes. Since x could never be zero in this function, we have a vertical line at x = 0 that the branches will never touch. Similarly, there is no way that the output y could equal zero, so we have a horizontal boundary line at y = 0. Here we look at shifting the branches vertically ( the horizontal asymptote will move up or down along with the branches) by adding or subtracting a constant after the fraction. We can also shift the graph horizontally by adding or subtracting a constant in the denominator with x. In this case, the vertical asymptote will shift as well. These vertical transformations apply to other function types, or families, as well.

Transcript Coming Soon!