Chapter 9 KoH

King of the Hill

Form teams of two or three. There must be an even number of teams.

A bit of a game…

Each slide contains two problems. The team that finishes first gets a

point. Each problem solved correctly gives you a point.

Winning a matchup allows you to move one step closer to the couch.

Win enough, and the couch and everlasting glory will be yours!

Graph the following conic sections.Let’s be honest…

2 6 0x x y 2 216 9 32 72 16 0x y x y

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

…the couch looks dirty.Graph the following conic sections.

2 24 25 16 150 141 0x y x y 2 29 16 18 32 151 0x y x y

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

It’s old as sin…Graph the following conic sections.

2 24 8 4 16 4 0x x y y 22 16 6 10 0y y x

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

…and it’s one saving grace…

: (0, 2)

: 3

Parabola

vertex

directrix x : ( 5, 0)

: ( 4, 0)

Ellipse

Vertices

Foci

Find the standard form equations.

2 2

125 9

x y

2( 2) 12( 0)y x

…is that it doesn’t smell…Find the standard form equations.

Endpoints

( 3, 4)

(7, 20).

Circle

of

diameter are

and

: ( 4, 3)

: ( 6, 3)

Hyperbola

Vertices

Foci

2 2( 2) ( 8) 169x y 2 2( 0) ( 3)

116 20

x y

…much.Find the standard form equations.

2 2( 2) ( 4)1

16 36

x y

2 2( 0) ( 2)1

4 25

x y

10

8

6

4

2

-2

-4

-6

-8

-10

-10 -5 5 10

(-2, -2)

(-2, 10)

(-6, 4) (2, 4)

10

8

6

4

2

-2

-4

-6

-8

-10

-10 -5 5 10

(2, 2)( 2, 2)

This is about pride.Find the focus(es).

2 23 2 12 12 29 0x y x y

2 3 8 19 0y x y

7, 44

62, 3

6

62, 3

6

STUDY.And your homework!