MATH 1330 Section 8.3.

Slides:

Advertisements

Similar presentations

Advertisements

Section 11.6 – Conic Sections

Hyperbolas Sec. 8.3a. Definition: Hyperbola A hyperbola is the set of all points in a plane whose distances from two fixed points in the plane have a.

Section 9.2 The Hyperbola. Overview In Section 9.1 we discussed the ellipse, one of four conic sections. Now we continue onto the hyperbola, which in.

10.1 Conics and Calculus. Each conic section (or simply conic) can be described as the intersection of a plane and a double-napped cone. CircleParabolaEllipse.

Hyperbola – a set of points in a plane whose difference of the distances from two fixed points is a constant. Section 7.4 – The Hyperbola.

10-4 Hyperbolas Warm Up Lesson Presentation Lesson Quiz Holt Algebra 2.

10.5 Hyperbolas What you should learn: Goal1 Goal2 Graph and write equations of Hyperbolas. Identify the Vertices and Foci of the hyperbola Hyperbolas.

11.4 Hyperbolas ©2001 by R. Villar All Rights Reserved.

10-4 Hyperbolas Warm Up Lesson Presentation Lesson Quiz Holt Algebra 2.

10.3 Hyperbolas. Circle Ellipse Parabola Hyperbola Conic Sections See video!

Section 9-5 Hyperbolas. Objectives I can write equations for hyperbolas I can graph hyperbolas I can Complete the Square to obtain Standard Format of.

Sullivan PreCalculus Section 9.4 The Hyperbola Objectives of this Section Find the Equation of a Hyperbola Graph Hyperbolas Discuss the Equation of a Hyperbola.

Definition A hyperbola is the set of all points such that the difference of the distance from two given points called foci is constant.

OHHS Pre-Calculus Mr. J. Focht. 8.3 Hyperbolas Geometry of a Hyperbola Translations of Hyperbolas Eccentricity 8.3.

HYPERBOLA. PARTS OF A HYPERBOLA center Focus 2 Focus 1 conjugate axis vertices The dashed lines are asymptotes for the graphs transverse axis.

Hyperbolas 9.3. Definition of a Hyperbola A hyperbola is the set of all points (x, y) in a plane, the difference of whose distances from two distinct.

Advanced Geometry Conic Sections Lesson 4

Chapter Hyperbolas.

9.5 Hyperbolas PART 1 Hyperbola/Parabola Quiz: Friday Conics Test: March 26.

Conic Sections - Hyperbolas

Conics A conic section is a graph that results from the intersection of a plane and a double cone.

Advanced Precalculus Notes 9.4 The Hyperbola Hyperbola: The set of all points in a plane, the difference of whose distances from two distinct fixed points.

What is a hyperbola? Do Now: Define the literary term hyperbole.

Hyperbolas. Hyperbola: a set of all points (x, y) the difference of whose distances from two distinct fixed points (foci) is a positive constant. Similar.

What is it?. Definition: A hyperbola is the set of points P(x,y) in a plane such that the absolute value of the difference between the distances from.

Hyperbola Definition: A hyperbola is a set of points in the plane such that the difference of the distances from two fixed points, called foci, is constant.

Precalculus Section 6.4 Find and graph equations of hyperbolas Geometric definition of a hyperbola: A hyperbola is the set of all points in a plane such.

The Hyperbola. x y Transverse axis Vertex Focus Center A hyperbola is the set of points in a plane the difference whose distances from two fixed points.

Section 10.4 Last Updated: December 2, Hyperbola  The set of all points in a plane whose differences of the distances from two fixed points (foci)

9.3 Hyperbolas Hyperbola: set of all points such that the difference of the distances from any point to the foci is constant.

10.1 Conics and Calculus.

Conics A conic section is a graph that results from the intersection of a plane and a double cone.

Conics A conic section is a graph that results from the intersection of a plane and a double cone.

Notes 8.3 Conics Sections – The Hyperbola

9.4 THE HYPERBOLA.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

MATH 1330 Section 8.2.

Hyperbolas 4.4 Chapter 10 – Conics. Hyperbolas 4.4 Chapter 10 – Conics.

Ch 4: The Hyperbola Objectives:

Conic Sections - Hyperbolas

12.5 Ellipses and Hyperbolas.

12.5 Ellipses and Hyperbolas.

10.3 The Hyperbola.

MATH 1330 Section 8.2b.

Section 10.2 – The Ellipse Ellipse – a set of points in a plane whose distances from two fixed points is a constant.

Ellipses Ellipse: set of all points in a plane such that the sum of the distances from two given points in a plane, called the foci, is constant. Sum.

Writing Equations of Conics

distance out from center distance up/down from center

9.5A Graph Hyperbolas Algebra II.

Hyperbola Last Updated: March 11, 2008.

Section 10.4 The Hyperbola Copyright © 2013 Pearson Education, Inc. All rights reserved.

Problems #1-6 on worksheet

MATH 1330 Section 8.3.

9.4 Graph & Write Equations of Ellipses

MATH 1330 Section 8.3.

10-4 Hyperbolas Warm Up Lesson Presentation Lesson Quiz Holt Algebra 2.

Hyperbola Last Updated: October 11, 2005 Jeff Bivin -- LZHS.

Section 7.4 The Hyperbola Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

MATH 1330 Section 8.3.

Hyperbolas Chapter 8 Section 5.

10.5 Hyperbolas Algebra 2.

Section 11.6 – Conic Sections

Chapter 10 Conic Sections.

Objective: Graphing hyperbolas centered at the origin.

Hyperbolas 12-4 Warm Up Lesson Presentation Lesson Quiz

Presentation transcript:

MATH 1330 Section 8.3

Quiz Example: Find the value of x: 8 15 2x x

Hyperbolas A hyperbola is the set of all points, the difference of whose distances from two fixed points is constant. Each fixed point is called a focus (plural = foci). The focal axis is the line passing through the foci.

Basic “Vertical” Hyperbola:

Basic “Horizontal” Hyperbola

Transverse Axis The transverse axis (length 2a) is the line segment joining the two vertices. The conjugate axis (length 2b) is the line segment perpendicular to the transverse axis, passing through the center and extending a distance b on either side of the center.

Graphing Hyperbolas: To graph a hyperbola with center at the origin:

To graph a hyperbola with center not at the origin

Determine the equation of the hyperbola that has asymptotes of y = 2x + 2 and y = -2x + 6, with one vertex at (2, 4).

Popper 17: Question 1 a. b. c. d.

Popper 17: Question 2 a. b. c. d.