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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:
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

slide5
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?
slide8
Ex 1: Identify the vertex, directrix, focus, and lattice points.

Vertex: __________________________

Focus: __________________________

Directrix: ________________________

Lattice Points: ____________________

Equation: ___________________________

directrix

slide9
Ex 1: Identify the vertex, directrix, focus, and lattice points.

Vertex: __________________________

Focus: __________________________

Directrix: ________________________

Lattice Points: ____________________

Equation: ___________________________

focus

slide11
1.

Vertex:

Focus:

Directrix:

Lattice Points:

slide12
2.

Vertex:

Focus:

Directrix:

Lattice Points:

slide13
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:

slide16
4.

Vertex:

Focus:

Directrix:

Lattice Points:

slide17
5.

Vertex:

Focus:

Directrix:

slide18
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.

slide21
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!
slide22
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!

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

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).
slide25
1.

2.

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