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Math III Warm Up 3/20/14. Classify the following as a(n) circle, ellipse, or hyperbola: Give the equation of the following graphs:. Day 1 . Mm2g2c - Conics: Parabolas. What do you know about parabolas?. Parabolas. Definition (OLD): an equation in the form of or

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Math iii warm up 3 20 14
Math III Warm Up 3/20/14

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

  • Give the equation of the following graphs:


Mm2g2c conics parabolas

Day 1

Mm2g2c - Conics: Parabolas



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


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
Math III Warm Up 3/21/14

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

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

  • How do you find the directrix of a parabola?

  • What are lattice points?


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

Vertex: __________________________

Focus: __________________________

Directrix: ________________________

Lattice Points: ____________________

Equation: ___________________________

directrix


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

Vertex: __________________________

Focus: __________________________

Directrix: ________________________

Lattice Points: ____________________

Equation: ___________________________

focus


Conics parabolas

Day 2

Conics: Parabolas


1.

Vertex:

Focus:

Directrix:

Lattice Points:


2.

Vertex:

Focus:

Directrix:

Lattice Points:


3.

Vertex:

Focus:

Directrix:

Lattice Points:


Math iii warm up 3 23 14
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:



4.

Vertex:

Focus:

Directrix:

Lattice Points:


5.

Vertex:

Focus:

Directrix:


5.

Vertex:

Focus:

Directrix:

Lattice Points:


Math iii warm up 3 24 14
Math III Warm Up 3/24/14

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

1. 2.


Conics parabolas word problems

Day 3

Conics: Parabolas Word Problems


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!


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

Taylor reed is awesome!


Assignment finish the worksheet

Assignment: whose Finish the worksheet


Math iii warm up 3 26 14
Math III Warm Up 3/26/14 whose

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

  • 2.

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

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


1. whose

2.


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