10-5 Hyperbolas
Objectives To graph hyperbolas
To find and use the foci of a hyperbola
Dynamic Activity
Hyperbolas
Lesson Vocabulary
- hyperbola
- focus of the hyperbola
- vertex of a hyperbola
- transverse axis
- axis of symmetry
- center of a hyperbola
- conjugate axis
In the Solve It, you saw the top halves of two different conic sections. You can complete each conic section by graphing
Recall from Lesson 10-1, that you can get a variety of conic sections by slicing the double cone with a plane. Changing the angle at which the plane slices the double cone determines the shape of the curve and whether or not the plane will slice both cones. If the plane is parallel to the axis of the double cone, it slices both cones and the result is a hyperbola.
Essential Understanding Like the ellipse, the hyperbola's shape is determined by its distance from two foci.
Take Note Key Concept: Hyperbola
A hyperbola is the set of points P in a plane such that the absolute value of the difference between the distances from P to two fixed points
Each fixed point F is a focus of the hyperbola.
Since
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions