More about parabolas, introduction to circles and ellipses.

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