1 / 33

Warm Up

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 of a hyperbola?. Algebra 3 Chapter 10: Quadratic Relations and Conic Sections Lesson 6: Graphing and Classifying Conics. VOCAB.

elsu
Download Presentation

Warm Up

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 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 of a hyperbola?

  2. Algebra 3Chapter 10: Quadratic Relations and Conic SectionsLesson 6: Graphing and Classifying Conics

  3. VOCAB • Conics or Conic Sections – parabolas, circles, ellipses, and hyperbolas…basically all curves that are formed by the intersections of a plane and a double-napped cone • Discriminant – an equation that can tell what type of conic you have

  4. Classifying – way 1 • Today we are going to learn one way to classify a conic section. This way is to put it in a normal formula.

  5. Formulas • Parabola • or • Circle • Ellipse • or • Hyperbola • or

  6. Directions • Look at the powers of x and y • If ONLY one of them is squared…parabola • Get x and y on the same side • Divide by the number • If it is SUBTRACTION…Hyperbola • If it is ADDITION • Denominators are the same…Circle • Denominators are different…Ellipse

  7. I DO (Classifying) • Classify the conic section • 1. • 2. • 3. • 4.

  8. WE DO (Classifying) • Classify the conic section • 1. • 2. • 3. • 4.

  9. YOU DO (Classifying) • Classify the conic section • 1. • 2. • 3. • 4.

  10. Review • What did you learn today?

  11. Homework • NONE

  12. Warm Up • Name the 4 types of conic sections • Explain how to classify a conic section

  13. Algebra 3Chapter 10: Quadratic Relations and Conic SectionsLesson 6: Graphing and Classifying Conics

  14. Classifying – discriminant • Today we are going to learn one way to classify a conic section. This way is to find the discriminant

  15. Formulas • General Equation • Discriminant

  16. KNOWLEDGE • Discriminant • Less than zero • B = 0 and A = C …it’s a circle • B ≠ 0 or A ≠ C … it’s an ellipse • Equal zero • It’s a parabola • Greater than zero • It’s a hyperbola

  17. DIRECTIONS • Find a, b, c • Find the discriminant • Classify the conic

  18. I DO (Classifying) • Classify the conic section • 1. • 2. • 3. • 4.

  19. WE DO (Classifying) • Classify the conic section • 1. • 2. • 3. • 4.

  20. YOU DO (Classifying) • Classify the conic section • 1. • 2. • 3. • 4.

  21. Review • What did you learn today?

  22. HOMEWORK • Worksheet • 10.6B (9 – 14)

  23. Warm Up • Classify the conic • 1. • 2.

  24. Algebra 3Chapter 10: Quadratic Relations and Conic SectionsLesson 6: Graphing and Classifying Conics

  25. TODAY • Today we are going to learn how to write equations of conics that are NOT in the center of a graph

  26. Formulas • Parabola • or • Circle • Ellipse • or • Hyperbola • or

  27. CENTER • Center of all shapes is • (h , k) • A is the distance from the vertex to the center • C is the distance from the focus to the center

  28. Directions • Label what you know • Find what your missing • A, b, c, p, h, k • Plug into the

  29. I DO (Equations) • Write the equation of the conic section • 1. Parabola … V (-2, 1) F (-3, 1) • 2. Circle … Center (3, -2) r = 4 • 3. Ellipse … F (3, 5) (3, -1) V (3, 6) (3, -2) • 4. Hyperbola … V (5, -4) (5, 4) F (5, -6) (5, 6)

  30. WE DO (Equations) • Write the equation of the conic section • 1. Parabola … V (1, -2) F (1, 1) • 2. Circle … Center (9, 3) r = 4 • 3. Ellipse … V(2, -3) (2, 6) F (2, 0) (2, 3) • 4. Hyperbola … V (-4, 2) (1, 2) F (-7, 2) (4, 2)

  31. YOU DO (Equations) • Write the equation of the conic section • 1. Parabola … V (-3, 1) directrix x = -8 • 2. Circle … Center (-4, 2) r = 3 • 3. Ellipse … F (-2, 2) (4, 2) CV (1, 1 (1, 3) • 4. Hyperbola … V (8, -4) (8, 4) F (8, -6) (8, 6)

  32. Review • Today you learned how to write the equation of a translated conic

  33. HOMEWORK • Worksheet • 10.6B (1 – 4)

More Related