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

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Presentation transcript:

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

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

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

STANDARD FORM

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

Directions Find a Find b Find c Plug into the equation

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)

WE DO (equations)

YOU DO (equations)

REVIEW What did you learn today?

HOMEWORK Worksheet – 10.5B (16-19)

Warm Up

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

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

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

I DO (SF)

WE DO (SF)

YOU DO (SF)

REVIEW What did you learn today?

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

Warm Up

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

TODAY Today we will learn how to graph a hyperbola.

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

I DO (Graph)

WE DO (Graph)

REVIEW What did you learn today?

HOMEWORK Worksheet – 10.5B (4-9)