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Brian McLogan
what is the formula's for the asymptotes of a hyperbola
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two...
FuseSchool
MATHS - Graphs - Asymptotes
What is an asymptote? An asymptote is a line which continually approaches a curve. The curve gets really really really close to the line but it never quite touches it... why? In this video, we learn all about what an asymptote is.
Brian McLogan
Finding the vertices, foci and asymptotes of a hyperbola
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Curated Video
Identifying Asymptotes in Functions
In this video, the concept of asymptotes is explained through the analysis of different functions. The teacher demonstrates how to identify asymptotes by examining the domain of a function and its behavior as it approaches infinity.
Professor Dave Explains
Continuous, Discontinuous, and Piecewise Functions
Looking at types of functions.
Brian McLogan
Learn how to find the equation of a parabola given focus and vertex conic sections
Learn how to write the equation of a parabola given the vertex and the focus. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall...
Brian McLogan
Evaluating a limit at infinity horizontal asymptote
👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Professor Dave Explains
Graphing Rational Functions and Their Asymptotes
An introduction to asymptotes
Curated OER
Conic Sections: Hyperbolas 3
Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...
Curated OER
Conic Sections: Hyperbolas 2
Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...
Curated OER
Conic Sections: Intro to Hyperbolas
In this video, Sal starts with the equation of a hyperbola by first comparing it to the equation of the circle, and ellipse. He then shows how to find the equation of the asymptotes by solving for y. He also shows a few intuitive ways to...
Khan Academy
Another Rational Function Graph Example, Algebra II
Extending his asymptotes lesson from the previous video, Sal shows viewers another example of graphing rational functions. This video is shorter than the previous one and could be shown in a single class session.
Flipped Math
Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes
Learning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...
Krista King Math
All About Graph Sketching!!
There's nothing sketchy about a helpful graphing resource. An informative video shows how to sketch graphs of functions. Scholars first apply derivatives to determine increasing/decreasing behavior, concavity, and asymptotes. They then...
Krista King Math
How to Find Slant Asymptotes
Learn about slant asymptotes directly—not obliquely. Viewers of a short video discover how to determine a slant or oblique asymptote for a rational function. They see how to apply polynomial division to achieve this goal.
Krista King Math
How to Find Horizontal Asymptotes
Is a vertical asymptote required to find the horizontal counterpart? By watching a video, scholars learn how to determine the horizontal asymptote of the graph of a rational function. They recognize that the degrees of the leading terms...
Brightstorm
Introduction to Rational Functions - Concept
Let's be rational about it. An instructive resource provides the definition of rational expressions and rational functions. Examples provide an explanation on how to determine excluded values from the domain. The resource continues...
Curated OER
How Do You Graph a Rational Function by Making a Table?
Make a table to graph a rational equation. Make a list of values for x and plug them into the expression to get the y value. Then plot the ordered pairs on a graph. Hey, this graph looks funny! Something about asymptotes. Watch closely...
Khan Academy
Khan Academy: Algebra Ii: Graphing Rational Functions 4
Video shows an example of finding the horizontal and vertical asymptotes of a rational function. Also shows finding the behavior of the function as it approaches the asymptotes and uses this information to sketch a graph of the function....
Khan Academy
Khan Academy: Algebra Ii: Graphing Rational Functions 2
Video shows an example of finding asymptotes of a rational function. Uses the asymptotes and the behavior near the asymptotes to graph the function. Includes an example of a rational function that does not have asymptotes. [8:20]
Khan Academy
Khan Academy: Algebra: Asymptotes of Rational Functions
Video explains what asymptotes are and demonstrates how to determine the asymptotes of rational functions. Includes rules for horizontal asymptotes based on the highest power of the numerator and denominator of the rational function....
Sophia Learning
Sophia: Finding Secant and Cosecant Asymptotes: Lesson 7
The lesson here demonstrates how to determine where on a graph the asymptotes for secant and cosecant functions will occur. This lesson is 7 of 7 in the series titled "Finding Secant and Cosecant Asymptotes."
Other
Mhs Math: Vertical Asymptotes
This goal of this video lesson is to find vertical asymptotes of rational functions and determine the behavior of the curve near the asymptotes.