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Pre-Cal 40S Slides December 11, 2007

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Parabolas, circles, introduction to ellipses.
13
12.1 Parabolas Parabolas ... and circles and ellipses too!
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Page 1: Pre-Cal 40S Slides December 11, 2007

12.1 Parabolas

Parabolas ... and circles and ellipses too!

Page 2: Pre-Cal 40S Slides December 11, 2007

And again: Sketch the graph, identify the vertex, focus, equation of the axis of symmetry and the equation of the directrix.

Page 3: Pre-Cal 40S Slides December 11, 2007
Page 4: Pre-Cal 40S Slides December 11, 2007

the appropriate coordinate of the

Page 5: Pre-Cal 40S Slides December 11, 2007

the appropriate coordinate of the

Page 6: Pre-Cal 40S Slides December 11, 2007

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.

Page 7: Pre-Cal 40S Slides December 11, 2007

Now, let's explore how we move from the standard form to the general form and back again ...

Page 8: Pre-Cal 40S Slides December 11, 2007

The Circle

standard form for the equation of a circle

Page 9: Pre-Cal 40S Slides December 11, 2007

Which equations represent circles? Find the radius, and the coordinates of the centre of each circle.

Page 10: Pre-Cal 40S Slides December 11, 2007

Which equations represent circles? Find the radius, and the coordinates of the centre of each circle.

Page 11: Pre-Cal 40S Slides December 11, 2007
Page 12: Pre-Cal 40S Slides December 11, 2007
Page 13: Pre-Cal 40S Slides December 11, 2007

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