Homework Questions Page 188 #1-17 odd.

Slides:

Advertisements

Similar presentations

Advertisements

HYPERBOLAS The equation of a hyperbola is almost exactly that of an ellipse. The only change that occurs is there is a minus sign between the terms. ALSO,

10.4 Ellipses p An ellipse is a set of points such that the distance between that point and two fixed points called Foci remains constant d1 d2.

Section 7.3 The Ellipse. OBJECTIVE 1 Find an equation of the ellipse with center at the origin, one focus at (0, – 3) and a vertex at (5, 0). Graph.

10.4 Hyperbolas JMerrill Definition A hyperbola is the set of all points in a plane, the difference of whose distances from two distinct fixed point.

Hyperbolas. Standard Equation of a Hyperbol a (Horizontal Transverse Axis) Example: Slant asymptotes are at.

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.

Ellipse Standard Equation Hyperbola. Writing equation of an Ellipse Example: write the standard form on an ellipse that has a vertex at (0,5) and co-vertex.

Translating Conic Sections

Section 7.3 – The Ellipse Ellipse – a set of points in a plane whose distances from two fixed points is a constant.

Reflective properties of ellipse. Ellipse construction: w/id/ Demonstration with geogebra Major axis minor.

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.

10.4, Day 2 More Ellipses!!. Do Now  Consider an elliptical fountain that is 10 feet long (x) and 20 feet wide (y). Write an equation to model the fountain.

Warm – up #3 1. Test for Symmetry: xy = 4 y–axis(–x)(y) = 4 NO! x–axis(x)(–y) = 4 NO! Origin(–x)(–y) = 4 YES! So it’s symmetric about the origin  –xy.

Pre-Calc Ellipses Lesson 6.3 If you take a circle---grab hold of a horizontal diameter At the ends and just stretch it out symmetrically, then The result.

Graph and write equations of Ellipses.

Conic Sections The Ellipse Part A. Ellipse Another conic section formed by a plane intersecting a cone Ellipse formed when.

Section 10.2 Ellipses Objectives: To understand the geometric definition of ellipses. Use the equation to find relavant information. To find the equation.

Definition: An ellipse is the set of all points in a plane such that the sum of the distances from P to two fixed points (F1 and F2) called foci is constant.

10.3 Ellipses Foci Major Axis / Minor Axis Vertices / Co- Vertices Eccentricity.

8.3 Ellipses May 15, Ellipse Definition: Is the set of all points such that the sum of the distances between the point and the foci is the same.

Ellipses Objectives: Write the standard equation for an ellipse given sufficient information Given an equation of an ellipse, graph it and label the center,

Hyperbolas Objective: graph hyperbolas from standard form.

Conic Sections Practice. Find the equation of the conic section using the given information.

Get out Ellipse: Notes Worksheet and complete #2 & #3 (Notes Sheet From Yesterday)

Homework Log Wed 4/27 Lesson Rev Learning Objective:

Center (-4, -6); Point of Tangency (-4, -9)

4 minutes Warm-Up 1. Graph the equation x2 - 8x – y + 20 = 0. Label the vertex, focus, and directrix.

Ellipses Date: ____________.

Day 20 AGENDA: Quiz minutes.

Graph and Write Equations of Elllipses

Conic Sections: The Ellipse

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

Ellipses & Hyperbolas.

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

Eccentricity Notes.

Graph and Write Equations of Ellipses

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.

Today in Pre-Calculus Go over homework Chapter 8 – need a calculator

Warm-Up Range Graphically (#9 on CQ#1).

Day 21 Agenda: DG minutes Finish notes on Ellipse (U2 L3)

Ellipses Objectives: Write the standard equation for an ellipse given sufficient information Given an equation of an ellipse, graph it and label the center,

Unit 1 – Conic Sections Section 1.4 – The Ellipse Calculator Required

9.4 Graph & Write Equations of Ellipses

Warm-Up Range Graphically (#9 on CQ#1).

Conic Sections The Ellipse Part A.

Section 10.2 Ellipses.

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.

distance out from center distance up/down from center

Writing Equations of Ellipses

Section 10.3 – The Ellipse a > b a – semi-major axis

Ellipse Skills Practice 70

4 minutes Warm-Up Write the standard equation of the circle with the given radius and center. 1) 9; (0,0) 2) 1; (0,5) 3) 4; (-8,-1) 4) 5; (4,2)

Warm-Up Write the standard equation for an ellipse with foci at (-5,0) and (5,0) and with a major axis of 18. Sketch the graph.

5.3 Ellipse (part 2) Definition: An ellipse is the set of all points in a plane such that the sum of the distances from P to two fixed points (F1 and.

5.4 Hyperbolas (part 1) 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.

Warm Up: What is it? Ellipse or circle?

5.4 Hyperbolas (part 2) 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.

L10-4 Obj: Students will find equations for ellipses and graph ellipses. Ellipse Definition: Each fixed point F is a focus of an ellipse (plural: foci).

Warm up: Write an equation for the circle that has center (5, 0), and radius 6 units. A. x2 + (y – 5)2 = 36 B. x2 – (y – 5)2 = 36 C. (x – 5)2 + y2 = 36.

5.4 Hyperbolas (part 1) 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.

Chapter 10 Algebra II Review JEOPARDY Jeopardy Review.

Graph information to Equation (going the other direction)

Section 10.3 Hyperbolas.

Today in Precalculus Go over homework Notes: Hyperbolas

Presentation transcript:

Homework Questions Page 188 #1-17 odd

Example 5: Sketch. Label the center, foci, vertices and co-vertices. CV: F: a: b: c:

Example 6: Write the standard equation for an ellipse with the given characteristics. Foci: (5, 0) and (-5, 0) Vertices: (9, 0) and (-9, 0) CENTER: V: CV: F: a: b: c:

Example 6: Write the standard equation for an ellipse with the given characteristics. b. CV: (0, 2) and (0, -2) V: (3, 0) and (-3, 0) CENTER: V: CV: F: a: b: c:

Example 7: Write a standard form equation for each ellipse Example 7: Write a standard form equation for each ellipse. Identify the center, foci, vertices, and co-vertices. CENTER: V: CV: F: a: b: c:

Example 7: Write a standard form equation for each ellipse Example 7: Write a standard form equation for each ellipse. Identify the center, foci, vertices, and co-vertices. CENTER: V: CV: F: a: b: c: