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Parabolas Parabolas $ $100 $ $300 $ $200 $ $400 $ $500 $ $100 $ $300 $ $200 $ $400 $ $500 $ $100 $ $300 $ $200 $ $400 $ $500 $ $100 $ $300 $ $200 $ $400 $ $500 $ $100 $300 $300 $200 $200 $400 $400 $500 $500 Mystery Mystery Circles & Circles & Ellipses Ellipses Hyperbola Hyperbola s s What am What am I? I?
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Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Dec 21, 2015

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Page 1: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

ParabolasParabolas

$$100

$$300

$$200

$$400

$$500

$$100

$$300

$$200

$$400

$$500

$$100

$$300

$$200

$$400

$$500

$$100

$$300

$$200

$$400

$$500

$$100

$300$300

$200$200

$400$400

$500$500

MysteryMystery Circles & Circles & EllipsesEllipses

HyperbolasHyperbolas What am What am I?I?

Page 2: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: In what direction does the parabola open?

Check Your Answer

Parabolas for $100

xy 42

Page 3: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: To the right

Back to the Game Board

Parabolas for $100

Page 4: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: What is the equation of the directrix if the focus is at (0, -6)?

Check Your Answer

Parabolas for $200

Page 5: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: y = 6

Back to the Game Board

Parabolas for $200

Page 6: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Write the equation given that the focus is (3, 0).

Check Your Answer

Parabolas for $300

Page 7: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Parabolas for $300

xy 122

Page 8: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Find the focus and directrix.

Check Your Answer

Parabolas for $400

028 2 xy

Page 9: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: (0, 7), y = - 7

Back to the Game Board

Parabolas for $400

Page 10: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Find the focus and directrix.

Check Your Answer

Parabolas for $500

094 2 yx

Page 11: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Parabolas for $500

9

1;0,

9

1

x

Page 12: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: What is the radius of the circle?

Check Your Answer

Mystery for $100

122 yx

Page 13: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: 1

Back to the Game Board

Mystery for $100

Page 14: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Graph the conic section.

Check Your Answer

Mystery for $200

1233 22 yx

Page 15: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: See Ms. Towner

Back to the Game Board

Mystery for $200

Page 16: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Graph the conic section.

Check Your Answer

Mystery for $300

64164 22 yx

Page 17: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: See Ms. Towner

Back to the Game Board

Mystery for $300

Page 18: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Graph:

Check Your Answer

Mystery for $400

125

22 x

y

Page 19: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: See Ms. Towner

Back to the Game Board

Mystery for $400

Page 20: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Graph:

Check Your Answer

Mystery for $500

144916 22 yx

Page 21: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: See Ms. Towner

Back to the Game Board

Mystery for $500

Page 22: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Write the equation of the circle that passes through the point (-3, 7).

Check Your Answer

Circles & Ellipses for $100

Page 23: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Circles & Ellipses for $100

3022 yx

Page 24: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Find the vertices and co-vertices.

Check Your Answer

Circles & Ellipses for $200

1254

22

yx

Page 25: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Circles & Ellipses for $200

2,0 :vertices-Co

5,0 :Vertices

Page 26: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: Find the vertices, co-vertices, and foci.

Check Your Answer

Circles & Ellipses for $300

12516

22

yx

Page 27: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Circles & Ellipses for $300

3,0 :Foci

0,4 :vertices-Co

5,0 :Vertices

Page 28: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: Find the vertices, co-vertices, and foci.

Check Your Answer

Circles & Ellipses for $400

11636

22

yx

Page 29: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Circles & Ellipses for $400

0,52 :Foci

40, :vertices-Co

0,6 :Vertices

Page 30: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: Write the equation for an ellipse with a co-vertex at (5,0) and a focus at

Check Your Answer

Circles & Ellipses for $500

.62,0

Page 31: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Circles & Ellipses for $500

14925

22

yx

Page 32: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: Is the graph of the hyperbola horizontal or vertical?

Check Your Answer

Hyperbolas for $100

14916

22

yx

Page 33: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: Horizontal

Back to the Game Board

Hyperbolas for $100

Page 34: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: What are the vertices?

Check Your Answer

Hyperbolas for $200

1164

22

yx

Page 35: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Hyperbolas for $200

0,2,0,2

Page 36: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: What is the equation for the hyperbola with a vertex at (2, 0) and a focus at (7, 0)?

Check Your Answer

Hyperbolas for $300

Page 37: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Hyperbolas for $300

1454

22

yx

Page 38: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: Find the vertices and foci.

Check Your Answer

Hyperbolas for $400

1169

22

xy

Page 39: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Hyperbolas for $400

50, :Foci

3,0 :Vertices

Page 40: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question: Find the vertices & foci.

Check Your Answer

Hyperbolas for $500

3636 22 xy

Page 41: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer:

Back to the Game Board

Hyperbolas for $500

37,0 :Foci

6,0 :Vertices

Page 42: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Identify the conic section.

Check Your Answer

What Am I for $100

82222 yx

Page 43: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: Circle

Back to the Game Board

What Am I for $100

Page 44: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question:

Check Your Answer

What Am I for $200

04 2 yx

Page 45: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: Parabola

Back to the Game Board

What Am I for $200

Page 46: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question:

Check Your Answer

What Am I for $300

363 22 yx

Page 47: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: Hyperbola

Back to the Game Board

What Am I for $300

Page 48: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question:

Check Your Answer

What Am I for $400

505 22 xy

Page 49: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: Ellipse

Back to the Game Board

What Am I for $400

Page 50: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Question:

Check Your Answer

What Am I for $500

1893 22 yx

Page 51: Parabolas $100 100 $300 $300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100 100 $300 300 $200 200 $400 400 $500 500 $100.

Answer: Hyperbola

Back to the Game Board

What Am I for $500