How do you find the asymptote of a quadratic equation?

The quadratic functions have no asymptotes.

To find the asymptote of a quadratic equation, follow these steps:

1. Determine the degree of the numerator and denominator of the rational function.
2. If the degree of the numerator is less than the degree of the denominator, there is a horizontal asymptote at ( y = 0 ).
3. If the degree of the numerator is equal to the degree of the denominator, divide the coefficients of the highest degree terms in the numerator and denominator to find the horizontal asymptote.
4. If the degree of the numerator is greater than the degree of the denominator by exactly 1, there is a slant asymptote. Perform polynomial long division to find the equation of the slant asymptote.
5. If the degree of the numerator is greater than the degree of the denominator by more than 1, there are no horizontal or slant asymptotes, but there may be vertical asymptotes depending on the factors of the denominator.