LESSON 7–3 Hyperbolas.

Slides:



Advertisements
Similar presentations
A New Look at Conic Sections
Advertisements

11.1 Intro to Conic Sections & The Circle. What is a “Conic Section”? A curve formed by the intersection of a plane and a double right circular cone.
10-1 Exploring Conic Sections
Intro to Conic Sections. It all depends on how you slice it! Start with a cone:
Warm up O Find the coordinates of the midpoint of the segment that has endpoints at (- 5, 4) and (7, - 2). O Find the distance between points at (10,
Introduction to Conic Sections
Introduction to Conic Sections
ACT Opener: Find 2
Advanced Geometry Conic Sections Lesson 4
Review Day! Hyperbolas, Parabolas, and Conics. What conic is represented by this definition: The set of all points in a plane such that the difference.
Conics A conic section is a graph that results from the intersection of a plane and a double cone.
Section 2 Chapter Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives The Circle and the Ellipse Find an equation of a circle.
Warm Up What is the standard form of a parabola? What is the standard form of a circle? What is the standard form of a ellipse? What is the standard form.
Circles – An Introduction SPI Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the.
Conic Sections By: Danielle Hayman Mrs. Guest Per. 4.
Conic Sections Conic sections come from the double cones above and a plane that intersects one or both cones, the cross-section provided is then one of.
Conic Sections Advanced Geometry Conic Sections Lesson 2.
Conic Sections An Introduction. Conic Sections - Introduction Similar images are located on page 604 of your book. You do not need to try and recreate.
Algebra Conic Section Review. Review Conic Section 1. Why is this section called conic section? 2. Review equation of each conic section A summary of.
Warm – up #8. Homework Log Mon 12/7 Lesson 4 – 7 Learning Objective: To identify conics Hw: #410 Pg , 4, 16, 18, 22, 26 Find foci on all.
QUESTION Identify the following conic section: AB CD CircleParabola EllipseHyperbola.
Conic Sections Topic 7.6. Definitions Conic Section: Any figure that can be formed by slicing a double cone with a plane ParabolaCircleEllipseHyperbola.
Section 8.5. In fact, all of the equations can be converted into one standard equation.
8.1 Classifying Conics Section 5/1/2013. Conic Is the intersection of a plane and a right circular cone. Circle Ellipse Parabola Hyperbola Definition:
An Introduction to Conics
12.5 Circles in the Coordinate Plane
Homework Log Tues 12/1 Lesson 4 – 5 Learning Objective: To graph translation of ellipses and hyperbolas Hw: #406 Pg. 247 #1, 3, 9, 13, 19, odd.
MATH 1330 Section 8.2A. Circles & Conic Sections To form a conic section, we’ll take this double cone and slice it with a plane. When we do this, we’ll.
Unit 5: Conics Feb. 3, What is Conics? This is the short term for conic sections. -Conic Sections include circles, parabolas, ellipses, and hyperbolas.
MTH253 Calculus III Chapter 10, Part I (sections 10.1 – 10.3) Conic Sections.
WRITING EQUATIONS OF CONICS IN VERTEX FORM MM3G2.
Then/Now You wrote equations of lines using information about their graphs. Write the equation of a circle. Graph a circle on the coordinate plane.
Equation of a Parabola. Do Now  What is the distance formula?  How do you measure the distance from a point to a line?
Chapter 10 – Conic Sections 1) Circles 2) Parabolas 3) Ellipses 4) Hyperbolas.
Conic Sections Circles Objective: Find the standard form of a circle.
10.1 Identifying the Conics. Ex 1) Graph xy = 4 Solve for y: Make a table: xy ½ ½ Doesn’t touch y -axis Doesn’t touch x -axis.
Conic Sections Practice. Find the equation of the conic section using the given information.
10.0 Conic Sections. Conic Section – a curve formed by the intersection of a plane and a double cone. By changing the plane, you can create a circle,
Fri 4/22 Lesson 10 – 6 Learning Objective: To translate conics Hw: Worksheet (Graphs)
WARM UP 13 (3/2, -5/2) Find the distance between the points 1. (8, 7) and (3, -5)2. (-5, 3) and (2, -7) Find the coordinates of the midpoints of the segments.
11.0 Analytic Geometry & Circles
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.
Systems: Identifying Equations, Points of Intersections of Equations
The geometric shapes obtained by slicing a double-napped cone
6.2 Equations of Circles +9+4 Completing the square when a=1
Conic Sections Anyway you slice it.
Conic Sections Dr. Shildneck Fall, 2015.
Chapter 9 Conic Sections.
Systems: Identifying Equations, Points of Intersections of Equations
Review Circles: 1. Find the center and radius of the circle.
Conic Sections - Circles
Splash Screen.
Systems: Identifying Equations, Points of Intersections of Equations
7.6 Conics
Introduction to Conics: Parabolas
Transverse Axis Asymptotes of a Hyperbola
Homework Log Thurs 4/21 Lesson 10 – 6 Learning Objective:
Systems: Identifying Equations, Points of Intersections of Equations
GSE Pre-Calculus Keeper 10
Systems: Identifying Equations, Points of Intersections of Equations
Warmup Write the equation in standard form. State whether the graph of 3y2 – 18y – 11 = –x is a parabola, circle, ellipse, or hyperbola. A. x2 + (y – 3)2.
10.1 Conics And 1.5 Circles Copyright © 2013 Pearson Education, Inc. All rights reserved.
LESSON 7–2 Ellipses and Circles.
Dots and Cross Products of Vectors in Space
Polar Forms of Conic Sections
LESSON 7–5 Parametric Equations.
10.1 Conics And 1.5 Circles Copyright © 2013 Pearson Education, Inc. All rights reserved.
L10-2 Obj: Students will be able to find equations for parabolas
Presentation transcript:

LESSON 7–3 Hyperbolas

Targeted TEKS P.3(F) Determine the conic section formed when a plane intersects a double-napped cone. P.3(I) Use the characteristics of a hyperbola to write the equation of a hyperbola with center (h, k). Also addresses P.3(G). Mathematical Processes P.1(D), P.1(E)

You analyzed and graphed ellipses and circles. (Lesson 7-2) Analyze and graph equations of hyperbolas. Use equations to identify types of conic sections. Then/Now

Vocabulary

Key Concept 1

Key Concept 3

LESSON 7–3 Hyperbolas