Pre-Cal 40S May 20, 2009

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More about parabolas, introduction to circles and ellipses.

More about parabolas, introduction to circles and ellipses.

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  • 1. Parabolas ... everywhere you look ... Talk-to-Me by flickr user photobrick
  • 2. What we learned from a piece of paper ... PF = PD
  • 3. by a similar argument we get ... PF = PD
  • 4. VERTICAL HORIZONTAL Let's compare and contrast this with what we've learned before ...
  • 5. Sketch the parabola defined by each equation, showing the coordinates of the focus and the equation of the directrix. Also write the equation of the axis of symmetry and the coordinates of the vertex.
  • 6. Sketch the parabola defined by each equation, showing the coordinates of the focus and the equation of the directrix. Also write the equation of the axis of symmetry and the coordinates of the vertex.
  • 7. Now, let's explore how we move from the standard form to the general form and back again ... Standard Form General Form Standard Form
  • 8. The Circle Standard Form for the equation of a Circle
  • 9. The Circle P(x, y) r F(h, k) Standard Form for the equation of a Circle
  • 10. Which equations represent circles? Find the radius, and the coordinates of the centre of each circle.
  • 11. Generating Ellipses HOMEWORK