1. Conics 1 2 3 4 7 8 6 5 10 12 11 9 16 15 14 13 This presentation was written by Rebecca Hoffman

2. 1 Name the vertex and the of the equation -.02(y+4) 2 + 1 = x Question: Answer: Vertex: (1, -4)

3. 2 Write the equation in center form: 18x 2 + 12y 2 - 144x - 48y + 120 = 0 Question: Answer:

4. 3 Write the equation in center form 9x 2 - 4y 2 - 54x - 40y - 55 = 0 Question: Answer:

5. 4 Determine the equation of an ellipse with center (-4, 7), a semi- major axis of 10 and a focus of (-10, 7) Question: Answer:

6. 5 Write in vertex form form: x 2 + 4x - y + 8 = 0 Question: Answer: (x + 2) 2 + 4 = y

7. 6 Graph: Question: Answer: Center: (4, -6) Vertices: (8, -6) (0, -6) Foci: (6.6, -6) (1.4, -6)

8. 7 Graph: Question: Answer: Center: (3,1) Vertices: (3,3) (3,-1)

9. 8 The following equations will graph which type of conic section? A) B) C) parabola hyperbola ellipse Question: Answer:

10. 9 Graph: (x-2) 2 = 8(y-3) Question: Answer: Vertex: (2, 3) Directrix: y = 1

11. 10 Write the equation from the graph Question: Answer:

12. 11 Question: Answer: Solve the system. x 2 + y 2 = 36

13. 12 Define an ellipse the locus of all points in the plane the sum of whose distances andlocusplanesum from two fixed points (the foci) separatedfoci by a distance of is a given positive constantpositive

14. 13 Write the equation from the graph Question: Answer:.25(y-2) 2 -4=x (-4, 2)

15. 14 Write the equation of the ellipse with vertical major axis 20 units long, and center at (3,0) and a foci at (3,7) Question: Answer: h = 3k = 0 a = 10 c = 7

16. 15 Write the equation of an ellipse That has a vertical major axis of 20 and a minor axis of 6 And a center of (0, 4) Question: Answer: Center: (0, 4) a = 4 b = 3 c = 5

17. 16 Question: Find the A, B, C, D, E, and F of the following:

18. Final Jeopardy Identify the conic section Write the equation in standard form Graph the equation Question: x 2 - 6y - 8x + 16 = 0

19. Final Jeopardy Question: x 2 - 6y - 8x + 16 = 0 Answer: parabola 1/6(x - 4) 2 = y Vertex: (4,0)