Section 7.3 The Parabola.

Slides:



Advertisements
Similar presentations
Find the minimum or maximum value
Advertisements

Conic Sections Parabola.
Applications of Conics ES: Demonstrate understanding of concepts Obj: Be able to solve application problems which utilize conic sections.
How long does a firework
Notes Over 10.2 Graphing an Equation of a Parabola Standard Equation of a Parabola (Vertex at Origin) focus directrix.
Reflective Property of Parabolas
Unit 4 – Conic Sections Unit 4-1: Parabolas
What do we know about parabolas?. Conic Slice Algebraic Definition Parabola: For a given point, called the focus, and a given line not through the focus,

Math 143 Section 7.3 Parabolas. A parabola is a set of points in a plane that are equidistant from a fixed line, the directrix, and a fixed point, the.
Section 2.3 beginning on page 68
Conic Sections Parabola. Conic Sections - Parabola The intersection of a plane with one nappe of the cone is a parabola.
Section 5.1 – Graphing Quadratic Functions graph quadratic functions use quadratic functions to solve real- life problems, such as finding comfortable.
2.11 Warm Up Graph the functions & compare to the parent function, y = x². Find the vertex, axis of symmetry, domain & range. 1. y = x² y = 2x².
Unit 1 – Conic Sections Section 1.3 – The Parabola Calculator Required Vertex: (h, k) Opens Left/RightOpens Up/Down Vertex: (h, k) Focus: Directrix: Axis.
Parabola Word Problem 3/31/14.
OHHS Pre-Calculus Mr. J. Focht
Section 8.1 Conic Basics. Names of Conics  Circle  Ellipse  Parabola  Hyperbola.
Parabola.
10.2 Parabolas JMerrill, Review—What are Conics Conics are formed by the intersection of a plane and a double-napped cone. There are 4 basic conic.
Sullivan Algebra and Trigonometry: Section 11.5 Objectives of this Section Identify a Conic Use a Rotation of Axes to Transform Equations Discuss an Equation.
Circles Ellipse Parabolas Hyperbolas
Circles – An Introduction SPI Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the.
March 20 th copyright2009merrydavidson Happy Late Birthday to: Pauline Nenclares 3/3 Adil Kassam 3/5 Katie Ceynar 3/13.
Advanced Precalculus Notes 9.2 Introduction to Conics: Parabolas Definition of a parabola: The set of all points (x, y) that are equidistant from a line.
As you come in, get a slip of paper from your teacher and fill in the information in the chart. Be prepared to justify your answers (explaining why).
Conics Test Last chance to SHINE!!. Unit 12 Conics Test Conic Graphing: 39 pts Completing the Square: 7 pts Writing Equations: 14 pts Conic Applications:
Equations of Parabolas. A parabola is a set of points in a plane that are equidistant from a fixed line, the directrix, and a fixed point, the focus.
Chapter : parabolas 8-2 : ellipse 8-3 : hyperbolas 8-4 : translating and rotating conics 8-5 : writing conics in polar form 8-6 : 3-D coordinate.
Goal: Find the equation, focus, and directrix of a parabola.
10.2 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Graph y = ax 2 + bx + c.
Section 11.1 Section 11.2 Conic Sections The Parabola.
Notes Over 10.6 Writing an Equation of a Translated Parabola Write an equation for the parabola.
Conic Sections Topic 7.6. Definitions Conic Section: Any figure that can be formed by slicing a double cone with a plane ParabolaCircleEllipseHyperbola.
Honors Precalculus: Do Now Take the following shape (called a double napped cone -it is hollow). Draw it on your paper. Now take a plane and intersect.
Advanced Geometry Conic Sections Lesson 3
Graphing Quadratic Functions A quadratic function is an equation of the form: y = ax 2 + bx + c.
Conics Conics Review. Graph It! Write the Equation?
Notes 8.1 Conics Sections – The Parabola
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.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 11.2 The Parabola.
Section 10.2 The Parabola. Find an equation of the parabola with vertex at (0, 0) and focus at (3, 0). Graph the equation. Figure 5.
Copyright © 2004 Pearson Education, Inc. 1 Notes #3-___ Date:______ Vertex Nappes (the two cones) Generator Axis 8.1 Introduction to Conics: Parabolas.
Copyright © 2012 Pearson Education, Inc. Publishing as Addison Wesley CHAPTER 7: Conic Sections 7.1 The Parabola 7.2 The Circle and the Ellipse 7.3 The.
Conic Sections Topic 7.6. Definitions Conic Section: Any figure that can be formed by slicing a double cone with a plane ParabolaCircleEllipseHyperbola.
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,
CONIC SECTIONS 1.3 Parabola. (d) Find the equation of the parabola with vertex (h, k) and focus (h+p, k) or (h, k+p). (e) Determine the vertex and focus.
8.2 Parabolas 12/15/09.
Section 10.3 The Parabola.
Conic Sections By: Kinsley Driver.
Systems: Identifying Equations, Points of Intersections of Equations
The Circle and the Parabola
MATH 1330 Section 8.1.
Chapter 4: Quadratic Functions and Equations
How long does a firework
Conic Sections Anyway you slice it.
Types of Bridges The five bridge types are 1.arch, 2. beam, 3. cable-stayed, 4. suspension, 5. and truss. Other variations include cantilever and moveable.
Graphing Quadratic Functions In Vertex Form
Systems: Identifying Equations, Points of Intersections of Equations
Conic Sections - Circles
Unit 2: Day 6 Continue  .
Section 10.1 The Parabola Copyright ©2013, 2009, 2006, 2005 Pearson Education, Inc.
Focus of a Parabola Section 2.3.
Systems: Identifying Equations, Points of Intersections of Equations
Parabolas.
Systems: Identifying Equations, Points of Intersections of Equations
Algebra 2: Conic Sections
Systems: Identifying Equations, Points of Intersections of Equations
Warm-up Write the equation of an ellipse centered at (0,0) with major axis length of 10 and minor axis length Write equation of a hyperbola centered.
Section 7.2 The Parabola Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Presentation transcript:

Section 7.3 The Parabola

Example

Definition of a Parabola

Standard Form of the Equation of a Parabola

Example

Using the Standard Form of the Equation of a Parabola

Example

Example

Translations of Parabola

Example

Example

Example

Example

Applications

Applications of Parabolas- cables on suspension bridges, arches on bridges, solar cookers, reflectors on lights, satellite dishes

Example 6 feet cooker (3,1) 1 foot (0,0)

Degenerate Conic Sections

(a) (b) (c) (d)

(a) (b) (c) (d)

(a) (b) (c) (d)