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:

Slides:

Advertisements

Similar presentations

Conics Review Your last test of the year! Study Hard!

Advertisements

Exploring Quadratic Graphs

Applications of Conics ES: Demonstrate understanding of concepts Obj: Be able to solve application problems which utilize conic sections.

Parabolas GEO HN CCSS: G.GPE.2. Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and.

Chapter 5 – Quadratic Functions and Factoring

Reflective Property of Parabolas

Copyright © 2007 Pearson Education, Inc. Slide 6-2 Chapter 6: Analytic Geometry 6.1Circles and Parabolas 6.2Ellipses and Hyperbolas 6.3Summary of the.

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.

6.1 Introduction The General Quadratic Equation in x and y has the form: Where A, B, C, D, E, F are constants. The graphs of these equations are called.

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.

Conic Sections Ellipse The Sequal. Deriving the Formula Consider P at (0, b)  Isosceles triangle  Legs = a And a a.

Ch. 9 Objective: Understand and identify basic characteristics of conics. Conic section (conic): What you get (the intersection)when you cross a.

Parabola Word Problem 3/31/14.

Copyright © 2011 Pearson Education, Inc. Slide

Identifying Conic Sections

Introduction to Parabolas SPI Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the.

50 Miscellaneous Parabolas Hyperbolas Ellipses Circles

Chapter 10.5 Conic Sections. Def: The equation of a conic section is given by: Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 Where: A, B, C, D, E and F are not.

11.3 Parabolas Objectives: Define a parabola.

10.6 – Translating Conic Sections. Translating Conics means that we move them from the initial position with an origin at (0, 0) (the parent graph) to.

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).

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.

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.

10.2 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Graph y = ax 2 + bx + c.

Section 8.5. In fact, all of the equations can be converted into one standard equation.

Circles Ellipse Parabolas Hyperbolas

Conics Conics Review. Graph It! Write the Equation?

Warm Up. Some rules of thumb for classifying Suppose the equation is written in the form: Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0, where A – F are real coefficients.

Conics Review Study Hard!. Name the Conic without graphing and write it in standard form X 2 + Y 2 -4Y-12=0.

Focus of a Parabola Section 2.3 beginning on page 68.

Notes 8.1 Conics Sections – The Parabola

Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Warm UpNO CALCULATOR 1) Determine the equation for the graph shown. 2)Convert the equation from polar to rectangular. r = 3cosθ + 2sin θ 3)Convert the.

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.

Today’s Date: 2/26/ Identifying the Conic Section.

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.

Conics Name the vertex and the distance from the vertex to the focus of the equation (y+4) 2 = -16(x-1) Question:

8.2 Parabolas 12/15/09.

Section 10.3 The Parabola.

10.1 Circles and Parabolas Conic Sections

Chapter 6 Review of Conics

The Circle and the Parabola

Translating Conic Sections

Graphing Quadratic Functions In Vertex Form

Vertices {image} , Foci {image} Vertices (0, 0), Foci {image}

Ellipses 5.3 (Chapter 10 – Conics). Ellipses 5.3 (Chapter 10 – Conics)

Eccentricity Notes.

Writing Equations of Conics

This presentation was written by Rebecca Hoffman

Unit 2: Day 6 Continue .

Section 10.1 The Parabola Copyright ©2013, 2009, 2006, 2005 Pearson Education, Inc.

Chapter 6: Analytic Geometry

Chapter 6: Analytic Geometry

Section 7.3 The Parabola.

Chapter 6: Analytic Geometry

Parabolas GEO HN CCSS: G.GPE.2

10.6 – Translating Conic Sections

Effect of the Real Numbers h and k of a

L10-2 Obj: Students will be able to find equations for parabolas

Presentation transcript:

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: 40 pts

Study Hints Know equations cold Know what determines orientation DO NOT get Vertex or CP wrong!!! Know what 1/4a does. What |1/a| does. Know what a, b, and c do for an ellipse & hyperbola Know how to calculate eccentricty Know how to complete the square Know satellite dish applications Know Quad Regression applications Know perihelion & aphelion

A satellite dish is shaped like a parabolic. The signals that emanate from a satellite strike the surface of the dish and are reflected to a single point, where the receiver is located (the focus). If the dish is 10 feet across at its opening and is 4 feet deep at its center, at what position should the receiver be placed?

Satellite Continued 10’ 4’ Since opening is 10’, then either side is 5’ (-5, 4) and (5, 4) y = a(x – h) 2 + k; but (h, k) = (0, 0) y = ax 2 (5, 4) is an ordered pair on the parabola 4 = a = 25a a = 4/25

The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable are 600 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 150 feet from a tower?