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Warm Up What is a vertex of a parabola? What is an asymptote?

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Presentation on theme: "Warm Up What is a vertex of a parabola? What is an asymptote?"— Presentation transcript:

1 Warm Up What is a vertex of a parabola? What is an asymptote?

2 Algebra 3 Chapter 10: Quadratic Relations and Conic Sections Lesson 5: Hyperbolas

3 VOCAB Hyperbola – see the board Foci – 2 focus points… – The set of all points equidistant from the focus and directrix Vertices – the line through the foci that intersects the hyperbola Transverse axis – line segment joining the vertices

4 STANDARD FORM

5 TODAY Today we will learn how to write the standard form equation of a hyperbola.

6 Directions Find a Find b Find c Plug into the equation

7 I DO (equations) Write the standard form equation of a hyperbola 1. F (0,3)V (0,2) 2. F (0,-13)V (0, -5) 3. F (-4,0)V (1,0) 4. F (0,7)V (0, -3)

8 WE DO (equations)

9 YOU DO (equations)

10 REVIEW What did you learn today?

11 HOMEWORK Worksheet – 10.5B (16-19)

12 Warm Up

13 Algebra 3 Chapter 10: Quadratic Relations and Conic Sections Lesson 5: Hyperbolas

14 TODAY Today we will learn how to write the standard form equation of a hyperbola.

15 Directions Get x and y on one side Divide by the number

16 I DO (SF)

17 WE DO (SF)

18 YOU DO (SF)

19 REVIEW What did you learn today?

20 HOMEWORK Worksheet – 10.5B (1-3, 10-13)

21 Warm Up

22 Algebra 3 Chapter 10: Quadratic Relations and Conic Sections Lesson 5: Hyperbolas

23 TODAY Today we will learn how to graph a hyperbola.

24 Directions Find a, b, and c Find the vertices Find the Foci Find the asymptotes Graph

25 I DO (Graph)

26 WE DO (Graph)

27

28 REVIEW What did you learn today?

29 HOMEWORK Worksheet – 10.5B (4-9)


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