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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:. 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

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  1. Math III Warm Up 3/20/14 • Classify the following as a(n) circle, ellipse, or hyperbola: • Give the equation of the following graphs:

  2. Day 1 Mm2g2c - Conics: Parabolas

  3. What do you know about parabolas?

  4. 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

  5. Equation: ___________________________ p > 0, opens: _____________________ p < 0, opens: _____________________ Vertex: __________________________ Focus: __________________________ Directrix: ________________________ Lattice Points: ____________________ Equation: ___________________________ p > 0, opens: _____________________ p < 0, opens: _____________________ Vertex: __________________________ Focus: __________________________ Directrix: ________________________ Lattice Points: ____________________

  6. 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?

  7. Ex 1: Identify the vertex, directrix, focus, and lattice points. Vertex: __________________________ Focus: __________________________ Directrix: ________________________ Lattice Points: ____________________ Equation: ___________________________ directrix

  8. Ex 1: Identify the vertex, directrix, focus, and lattice points. Vertex: __________________________ Focus: __________________________ Directrix: ________________________ Lattice Points: ____________________ Equation: ___________________________ focus

  9. Day 2 Conics: Parabolas

  10. 1. Vertex: Focus: Directrix: Lattice Points:

  11. 2. Vertex: Focus: Directrix: Lattice Points:

  12. 3. Vertex: Focus: Directrix: Lattice Points:

  13. 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:

  14. 4.

  15. 4. Vertex: Focus: Directrix: Lattice Points:

  16. 5. Vertex: Focus: Directrix:

  17. 5. Vertex: Focus: Directrix: Lattice Points:

  18. Math III Warm Up 3/24/14 Write the following in standard form, find the vertex, directrix, and focus, then graph. 1. 2.

  19. Day 3 Conics: Parabolas Word Problems

  20. 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!

  21. 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!

  22. Assignment:Finish the worksheet

  23. 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).

  24. 1. 2.

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