In these lessons we will learn
- about hyperbolas
- transformations of hyperbolas
- how to identify conic sections by their formulas or equations
Related Topics:
Videos, worksheets, and activities to help Algebra students.
The Hyperbola
A hyperbola is a type of conic section that is formed by intersecting a cone with a plane, resulting in two parabolic shaped pieces that open either up and down or right and left. Similar to a parabola, the hyperbola pieces have vertices and are asymptotic. The hyperbola is the least common of the conic sections.How to talk about hyperbolas.
This video defines a hyperbola and explains how to graph a hyperbola given in standard form.
This video explains how to graph a hyberbola in general form.
Transformations of a Hyperbola:
Hyperbola Graphs Graphing a transformed hyperbola combines the skills of graphing hyperbolas and graphing transformations. With hyperbola graphs, we use the formula a^2 + b^2 = c^2 to determine the foci and y= + or - (a/b)x to determine the asymptotes. When transforming hyperbola graphs, we find the center of the graph and then graph accordingly.How to transform the graph of a hyperbola.
This video shows how to sketch the graph of a shifted hyperbola.
Conic Section Formulas
We can easily identify a conic section by its formula. Conic section formulas have different identifiers. For example, a vertical parabola has a squared "x" term and single "y" term while a horizontal parabola has a single "x" term and a "y" squared term. An equation for a circle has a squared "x" term, a squared "y" term and identical coefficients.How to identify a conic section by its formula.
This video explains how to determine if a given equation in general form is a circle, ellipse, parabola, or hyperbola.
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.