1. Warm-up
Write the equation of an ellipse centered at (0,0) with major axis length of 10 and minor axis length 6.
2. Write equation of a hyperbola centered at (0,0), with vertex at (3,0) and focus at (3.5,0)

2. Translations of Conics

3. We’ve been doing translations of circles all along

4. Translations Parabola
Horizontal Axis or
Vertical Axis
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5. Identify the important Characteristics of the Graph.
(x-3)2 = 8(y+4)
(y-4)2 = 3(x+2)
(x+7)2 = 12(y-3)

6. Writing the Equation of a Parabola
Parabola with vertex at (3,3) and focus at (3,0)
Parabola with vertex at (-8,1) and focus at (-8,3)
Parabola with vertex at (6,2) and directrix x=2

7. Translations Ellipse or
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8. Translations Hyperbolaor
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9. Translations Identify the conic and important parts
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10. Translations Identify the conic and important parts
center
vertices
foci
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11. Translations Identify the conic and important parts
Vertex
Focus
Directrix
Back to Index

12. Write an Equation of a Translated Conic Section
Write the equation of an ellipse with vertices at (-2,5) and (-2,-3) and co-vertices at (-5,1) and (1,1).

13. Write an Equation of a Translated Conic Section
Write the equation of a parabola with vertex (4,-1) and focus (0,-1).

14. In Class Assignment

15. In Class Assignment

16. Homework Finish the Classwork (previous 2 slides)