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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:

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

- 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

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:

Math III Warm Up 3/24/14

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

1. 2.

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!

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).

1.

2.

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