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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 • Classify the following as a(n) circle, ellipse, or hyperbola: • Give the equation of the following graphs:
Day 1 Mm2g2c - Conics: 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 • 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
Day 2 Conics: Parabolas
1. Vertex: Focus: Directrix: Lattice Points:
2. Vertex: Focus: Directrix: Lattice Points:
3. Vertex: Focus: Directrix: Lattice Points:
4. Vertex: Focus: Directrix: Lattice Points:
5. Vertex: Focus: Directrix: Lattice Points: