“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