1. Find the distance between (-4, 2) and (6, -3)

2. Find the midpoint of the segment connecting (3, -2) and (4, 5).

3. The midpoint of a segment is (-5, 0) and one endpoint is (4, 3). Find the other endpoint.

4. Find the focus: y = 1/4(x – 3) 2 – 6

5. Find the vertex: y = 1/4(x – 3) 2 – 6

6. Find the directrix: y = 1/4(x – 3) 2 – 6

7. Find the focus: 1/16 (y + 2) 2 – 3 = x

8. Find the vertex: 1/16 (y + 2) 2 – 3 = x

9. Find the directrix: 1/16 (y + 2) 2 – 3 = x

10. What conic section is this? 2x 2 + 2y 2 + 12x – 16y = -18

11. What is the center of the circle? 2x 2 + 2y 2 + 12x – 16y = -18

12. What is the radius of the circle? 2x 2 + 2y 2 + 12x – 16y = -18

13. Find the equation of the parabola with focus (1, -1) and directrix y = 5.

14. Find the equation of the circle with center (4, -3) and radius r = 3.

15. Find the equation of the circle with center (-3, 9) and contains the point (1, 4).

16. What conic section is this equation?

19. 4x 2 - 2y + 16 = 0

20. What conic section is this equation? 8x 2 + 8y 2 + 16x + 4y + 2 = 0 Last one!!!

21. ANSWERS TO HANG ON THE BOARD OR WALL

36. Circle

37. Ellipse

38. Parabola

39. Hyperbola