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Page 1: “Backwards” Parabolas

“Backwards” Parabolas

Today you will write the equation of a parabola given defining

characteristics or the graph.

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Parabolas

• Please pick up your clicker. Everything else should be cleared off of your table/desk.

• This quiz is to be taken individually.

• Good Luck

Page 7: “Backwards” Parabolas

Point A is called the

1. Vertex2. Focus3. Directrix4. Axis of

Symmetry5. Latus

Rectum

4

2

-2

-4

-6

-5 5

A

B

C

D

Page 8: “Backwards” Parabolas

Point D is called the

1. Vertex2. Focus3. Directrix4. Axis of

Symmetry5. Latus

Rectum

4

2

-2

-4

-6

-5 5

A

B

C

D

Page 9: “Backwards” Parabolas

The green line is called the

1. Vertex2. Focus3. Directrix4. Axis of

Symmetry5. Latus

Rectum

4

2

-2

-4

-6

-5 5

A

B

C

D

Page 10: “Backwards” Parabolas

The yellow line is called the

1. Vertex2. Focus3. Directrix4. Axis of

Symmetry5. Latus

Rectum

4

2

-2

-4

-6

-5 5

A

B

C

D

Page 11: “Backwards” Parabolas

The red line is called the

1. Vertex2. Focus3. Directrix4. Axis of

Symmetry5. Latus

Rectum

4

2

-2

-4

-6

-5 5

A

B

C

D

Page 12: “Backwards” Parabolas

The distance between A and D and A and the red line is called

4

2

-2

-4

-6

-5 5

A

B

C

D

1. a2. h3. k4. p5. d6. f

Page 13: “Backwards” Parabolas

The length of the green segment is

4

2

-2

-4

-6

-5 5

A

B

C

D

1. 2a2. 4a3. 2p4. 4p

Page 14: “Backwards” Parabolas

Which variable would be squared in the equation for the parabola below?

4

2

-2

-4

-6

-5 5

A

B

C

D

1. x2. y

Page 15: “Backwards” Parabolas

Find the equation of the parabola that satisfies the given conditions.

•Vertex is at (-2,3)•Focus is at (1,3)

Page 16: “Backwards” Parabolas

Find the equation of the parabola that satisfies the given conditions.

•Focus is (-3, 4)•Directrix has equation x = - 5

Page 17: “Backwards” Parabolas

Find the equation of the parabola that satisfies the given conditions.

• Vertex is at (0,0)• Symmetric about the y-axis• Passes through (3,3)

Page 18: “Backwards” Parabolas

Find the equation of the parabola that satisfies the given conditions.

2

-2

-4

-6

-8

5 10

Page 19: “Backwards” Parabolas

Assignment

•A 3.2Sect II & III


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