Math III Warm Up 3/20/14

1. Classify the following as a(n) circle, ellipse, or hyperbola:

2. Give the equation of the following graphs:

MM2G2C - CONICS: PARABOLASDay 1

What do you know about parabolas?

Parabolas

Definition (OLD): an equation in the form of or

Definition (NEW): The set of all points in a plane that are equidistant from a fixed line (directrix) and a fixed point (focus) which is not a line.

Lattice Points: points equidistant (2p) from the focus on the parabola

4

2

-2

-5 5

42-2-4

 

Equation: ___________________________

p > 0, opens: _____________________

p < 0, opens: _____________________

Vertex: __________________________

Focus: __________________________

Directrix: ________________________

Lattice Points: ____________________

 

Equation: ___________________________

p > 0, opens: _____________________

p < 0, opens: _____________________

Vertex: __________________________

Focus: __________________________

Directrix: ________________________

Lattice Points: ____________________

Math III Warm Up 3/21/14

1. What is the standard form equation of a parabola that opens down?

2. What do you need to find the focus of a parabola?

3. How do you find the directrix of a parabola?

4. What are lattice points?

Ex 1: Identify the vertex, directrix, focus, and lattice points.

 

Vertex: __________________________

Focus: __________________________

Directrix: ________________________

Lattice Points: ____________________

Equation: ___________________________

 

8

6

4

2

5

directrix

Ex 1: Identify the vertex, directrix, focus, and lattice points.

 

Vertex: __________________________

Focus: __________________________

Directrix: ________________________

Lattice Points: ____________________

Equation: ___________________________

 

4

2

-2

-4

-6

-8

-10

5

focus

CONICS: PARABOLASDay 2

Vertex:

Focus:

Directrix:

Lattice Points:

1.

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

2.

Vertex:

Focus:

Directrix:

Lattice Points:

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

3.

Vertex:

Focus:

Directrix:

Lattice Points:

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

Math III Warm Up 3/23/14

Find the following for the parabola and graph it. (Use a graph from the paper from Friday)

Vertex:

Opens:

Focus:

Directrix:

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

4.

4.

Vertex:

Focus:

Directrix:

Lattice Points:

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

5.

Vertex:

Focus:

Directrix:

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

5.

Vertex:

Focus:

Directrix:

Lattice Points:

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

Math III Warm Up 3/24/14

Write the following in standard form, find the vertex, directrix, and focus, then graph.

1. 2.

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

CONICS: PARABOLAS WORD PROBLEMS

Day 3

1. Write the standard form of the equation of the parabola whose directrix is x = -1 and whose focus is at (5, -2).

Hint: GRAPH!8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

1. Write the standard form of the equation of the parabola whose vertex is (-2, 4) and whose focus is at (-2, 3).

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

Taylor reed is awesome!

Assignment:Finish the worksheet

Math III Warm Up 3/26/14

Graph the following. Find vertex, focus, and directrix for each.1. 2.

3. Find the equation of the parabola with a focus at (3, 8) and directrix at y = 4.

4. Find the equation of the parabola with vertex at (5, -1) and focus at (3, -1).

1.

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

2.

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10