## How do you find the asymptote equation?

How to Find Horizontal Asymptotes?

- If the degree of the polynomials both in numerator and denominator is equal, then divide the coefficients of highest degree terms to get the horizontal asymptotes.
- If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptotes will be y = 0.

## What is asymptote of parabola?

In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity. But in this case, the distance is already infinity and doesn’t approach it. Hence, there is no asymptote for parabola.

**What is number asymptote?**

An asymptote is a line that a graph approaches without touching. If a graph has a horizontal asymptote of y = k, then part of the graph approaches the line y = k without touching it–y is almost equal to k, but y is never exactly equal to k.

### What is asymptote and example?

The asymptote (s) of a curve can be obtained by taking the limit of a value where the function does not get a definition or is not defined. An example would be \infty∞ and -\infty −∞ or the point where the denominator of a rational function is zero.

### Do all parabolas have asymptotes?

Even though parabolas and hyperbolas look very similar, parabolas are formed by the distance from a point and the distance to a line being the same. Therefore, parabolas don’t have asymptotes.

**How do you draw asymptotes?**

The line x=a is a vertical asymptote if the graph increases or decreases without bound on one or both sides of the line as x moves in closer and closer to x=a . The line y=b is a horizontal asymptote if the graph approaches y=b as x increases or decreases without bound….Section 4-8 : Rational Functions.

x | f(x) |
---|---|

4 | 0.25 |

## What are the 3 different cases for finding the horizontal asymptote?

There are 3 cases to consider when determining horizontal asymptotes:

- 1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
- 2) Case 2: if: degree of numerator = degree of denominator.
- 3) Case 3: if: degree of numerator > degree of denominator.

## How do you find the Directrix of a parabola?

How to find the directrix, focus and vertex of a parabola y = ½ x2. The axis of the parabola is y-axis. Equation of directrix is y = -a. i.e. y = -½ is the equation of directrix.