Transformations

Transformations

Writing Equations

Writing a rational function can be accomplished by adding the asymptote lines to the parent function RationalsWriting1-1 . It can also be done by using the rules of transformations.

Example 1
The graph below has a vertical asymptote at x = 2 and a horizontal asymptote at y = -4. What is the equation of the function that models this graph?

RationalsWriting1-2

Step 1 . Use the equation of the vertical asymptote to create a part of the rational function.

RationalsWriting1-3

Step 2. Use the equation of the horizontal asymptote to create the second part of the rational function.

RationalsWriting1-4