“Backwards” Parabolas

Today you will write the equation of a parabola given defining

characteristics or the graph.

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

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

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

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

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

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

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. a

2. h

3. k

4. p

5. d

6. f

The length of the green segment is

4

2

-2

-4

-6

-5 5

A

B

C

D

1. 2a

2. 4a

3. 2p

4. 4p

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

4

2

-2

-4

-6

-5 5

A

B

C

D

1. x

2. y

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

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

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

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

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)

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

2

-2

-4

-6

-8

5 10

Assignment

•A 3.2

Sect II & III