Equation of each conic - Sir Wilfrid Laurier School Board Materials... · Equation of each conic...

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1 Equation of each conic quadratic formula directrix asymptotes circle ellipse hyperbola parabola relationships among values c and a, b, h and k

Transcript of Equation of each conic - Sir Wilfrid Laurier School Board Materials... · Equation of each conic...

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Equation of each conic

quadratic formula

directrixasymptotes

circle

ellipse

hyperbola

parabola

relationshipsamong values c and a, b, h and k

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The equations of each conic section

The relationships between h, k, a, b and c.directrix

Equation of asymptotes

Shading

line intersecting with circle

Completing the square

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Copyright © 2011 Pearson, Inc. 8.1 Parabolas Goal: Find the equation, focus, and directrix of a parabola.

Copyright © 2011 Pearson, Inc. 8.1 Parabolas Goal: Find the equation, focus, and directrix of a parabola.

4(x 2 – 2x + ? ) + y 2 = 8 + 4( ? ) EXAMPLE 6 Classify a conic Classify the conic given by 4x 2 + y 2 – 8x – 8 = 0. Then graph the equation. SOLUTION Note.

4(x 2 – 2x + ? ) + y 2 = 8 + 4( ? ) EXAMPLE 6 Classify a conic Classify the conic given by 4x 2 + y 2 – 8x – 8 = 0. Then graph the equation. SOLUTION Note.

Domain 1 - bfc.sfsu.edubfc.sfsu.edu/Subject_Matter_Requirement_Changes_for_…  · Web viewTranslate between the geometric description and the equation for a conic section . ...

Domain 1 - bfc.sfsu.edubfc.sfsu.edu/Subject_Matter_Requirement_Changes_for_…  · Web viewTranslate between the geometric description and the equation for a conic section . ...

Conic Sections - Richland Community College · Conic Sections General Quadratic Equation in Two Variables The general quadratic equation in two variables can be written as ... 2.

Conic Sections - Richland Community College · Conic Sections General Quadratic Equation in Two Variables The general quadratic equation in two variables can be written as ... 2.

directrix axis a.c = b. V( ) c. F( ) d. x 2 or y 2 e. directrix _________ f. axis _____________ g. equation:___________________ 2, 3 2, 4 b. V( ) focus.

directrix axis a.c = b. V( ) c. F( ) d. x 2 or y 2 e. directrix _________ f. axis _____________ g. equation:___________________ 2, 3 2, 4 b. V( ) focus.

Chapter 6: Conic Sections Chapter 6 · PDF fileChapter 6: Conic Sections 2007 and Bartlett Publishers circle ellipse parabola hyperbola and Bartlett PuN.h.rs Directrix Axis Focus F

Chapter 6: Conic Sections Chapter 6 · PDF fileChapter 6: Conic Sections 2007 and Bartlett Publishers circle ellipse parabola hyperbola and Bartlett PuN.h.rs Directrix Axis Focus F

B.Tech. (ME), M.Tech. (CAD/CAM) Assistant …...Distance from straight line/Directrix = VC Distance from focus/fixed point = VF VF = VC = e = 1 Eccentricity is 1. So the conic is Parabola.

B.Tech. (ME), M.Tech. (CAD/CAM) Assistant …...Distance from straight line/Directrix = VC Distance from focus/fixed point = VF VF = VC = e = 1 Eccentricity is 1. So the conic is Parabola.

Identifying Conic Sections How do I determine whether the graph of an equation represents a conic, and if so, which conic does it represent, a circle,

Identifying Conic Sections How do I determine whether the graph of an equation represents a conic, and if so, which conic does it represent, a circle,

Chapter 12 12-5 Parabolas. Objectives Write the standard equation of a parabola and its axis of symmetry. Graph a parabola and identify its focus, directrix,

Chapter 12 12-5 Parabolas. Objectives Write the standard equation of a parabola and its axis of symmetry. Graph a parabola and identify its focus, directrix,

Algebra 2 and Trigonometry Honors - White Plains Public ......Day 5: Write equations of a parabola using a directrix and focus. SWABT: Write an equation of a parabola using a directrix

Algebra 2 and Trigonometry Honors - White Plains Public ......Day 5: Write equations of a parabola using a directrix and focus. SWABT: Write an equation of a parabola using a directrix

Slide 1 / 181content.njctl.org/courses/math/algebra-ii/conic-sections/conic-sections-3/conic...Apr 21, 2015  · Slide 27 / 181 The equation of a parabola can be written in two forms:

Slide 1 / 181content.njctl.org/courses/math/algebra-ii/conic-sections/conic-sections-3/conic...Apr 21, 2015  · Slide 27 / 181 The equation of a parabola can be written in two forms:

CONE WHOSE DIRECTRIX IS A CYLINDRICAL HELIX AND …facta.junis.ni.ac.rs/aace/aace201103/aace201103-16.pdf · CONE WHOSE DIRECTRIX IS A CYLINDRICAL HELIX AND THE VERTEX OF THE DIRECTRIX

CONE WHOSE DIRECTRIX IS A CYLINDRICAL HELIX AND …facta.junis.ni.ac.rs/aace/aace201103/aace201103-16.pdf · CONE WHOSE DIRECTRIX IS A CYLINDRICAL HELIX AND THE VERTEX OF THE DIRECTRIX

y = 8x 2 EXERCISE 6.4 x + 2 = 0 y = 4 · Mathematics (Part-II) (Ch. 06) Conic Section 578 EXERCISE 6.4 Q.1: Find the focus, vertex and directrix of the parabola. Sketch its graph.

y = 8x 2 EXERCISE 6.4 x + 2 = 0 y = 4 · Mathematics (Part-II) (Ch. 06) Conic Section 578 EXERCISE 6.4 Q.1: Find the focus, vertex and directrix of the parabola. Sketch its graph.

Chapter 10. Write an equation given the focus and directrix. Use the distance formula.

Chapter 10. Write an equation given the focus and directrix. Use the distance formula.

CONIC SECTIONS 11.1.1 – 11.3 · 2018. 12. 7. · Sketch the parabola that is the set of all points equidistant from the focus (2, 3) and the directrix y=!1. Most students first

CONIC SECTIONS 11.1.1 – 11.3 · 2018. 12. 7. · Sketch the parabola that is the set of all points equidistant from the focus (2, 3) and the directrix y=!1. Most students first

Introduction to Conics Conic Section: Circle Conic Section: Ellipse Conic Section: Parabola.

Introduction to Conics Conic Section: Circle Conic Section: Ellipse Conic Section: Parabola.

Prerequisites: Basic knowledge of English Language II SEM SYLLABUS.docx  · Web viewDefine a conic section, focus, directrix, eccentricity, axes and latus rectum – Find equation

Prerequisites: Basic knowledge of English Language II SEM SYLLABUS.docx  · Web viewDefine a conic section, focus, directrix, eccentricity, axes and latus rectum – Find equation

perfect squares to rewrite each of the following. Use your new equation to write the center or vertex of each conic section. Graph each conic section. x 2 + 6x —10)' = 2 Q+C«L —4

perfect squares to rewrite each of the following. Use your new equation to write the center or vertex of each conic section. Graph each conic section. x 2 + 6x —10)' = 2 Q+C«L —4

ClassPad Overview 030405 - MonacoCorpcasio.edu.monacocorp.co.nz/.../ClassPadOverview.pdf · Conics Graph a conic section, transform an equation into a conic form and view properties.

ClassPad Overview 030405 - MonacoCorpcasio.edu.monacocorp.co.nz/.../ClassPadOverview.pdf · Conics Graph a conic section, transform an equation into a conic form and view properties.

Similar to equation l +εcosφ (3) Equation of conic section ...

Similar to equation l +εcosφ (3) Equation of conic section ...