1. Chapter 9- Distance and Conics Annie Kane-P6

2. 100 200 300 400 500 What’s the distance? CirclesParabolasEllipsesHyperbolas 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500

3. What’s the Distance? - for 100 Remember to phrase your answer in the form of a question! Find the distance between: (13,6) and (0,6)

4. What’s the Distance? - for 100 13

5. What’s the Distance? - for 200 Find the midpoint of: (  2, 1) and (-  2, 0) Remember to phrase your answer in the form of a question!

6. What’s the Distance? - for 200 (0, ½)

7. What’s the Distance? - for 300 Find the (a) distance and (b) midpoint between: (1+  5, 2+  3) and (1-  5, -2 +  3) Remember to phrase your answer in the form of a question!

8. What’s the Distance? - for 300 a)6 b)(1,  3)

9. What’s the Distance? - for 400 The midpoint of the seqment joining A(-2,4) and B is (7,-1) Find B? Remember to phrase your answer in the form of a question!

10. What’s the Distance? - for 400 (16,-6)

11. What’s the Distance? - for 500 Find the value(s) of “X” so that the distance between (-2,4) and (X, 7) is 10. Remember to phrase your answer in the form of a question!

12. What’s the Distance? - for 500 X=

13. Circles - for 100 Find the (a) radius and (b) center of: x²+y²+12x-6y=0 Remember to phrase your answer in the form of a question!

14. Circles - for 100 (a)(-6,3) (b) 3  5

15. Circles - for 200 Find the equation of a circle with radius=2 and center of (-2,3) Remember to phrase your answer in the form of a question!

16. Circles - for 200 (x+2)²+(y-3)²=4

17. Circles - for 300 Find the equation of the circle with a diameter that has endpoints (-5,-3) and (2,5) Remember to phrase your answer in the form of a question!

18. Circles - for 300 (x+3/2) ² + (y-1)²=113/4

19. Circles - for 400 Graph and find the equation of the circle that is on line y-3=0 and that is tangent to the x axis at (4,0) Remember to phrase your answer in the form of a question!

20. Circles - for 400 (x-4) 2 + (y-3) 2 =9

21. Circles - for 500 Find the center and radius of 4x 2 +4y 2 -16x-24y+36=0 Remember to phrase your answer in the form of a question!

22. Circles - for 500 C(2,3) r=2

23. Parabolas - for 100 Remember to phrase your answer in the form of a question! Find the focus when V(4,2) and D:y=-3 are given *D=directrix, V= vertex, F=focus

24. Parabolas - for 100 (4,7)

25. Parabolas - for 200 Remember to phrase your answer in the form of a question! Find an equation of a parabola with F(0,0) and D y=4. *D=directrix, V= vertex, F=focus

26. Parabolas - for 200 y-2= -1/8x²

27. Parabolas - for 300 Remember to phrase your answer in the form of a question! Find the vertex, focus, and directrix of: 4y²+4y-2x=-2

28. Parabolas - for 300 V: (1/2, -1/2) F: (5/8, -1/2) D: x= 3/8

29. Parabolas - for 400 Remember to phrase your answer in the form of a question! Give vertex focus and directrix and Graph the parabola: x-1=1/8(y-4)²

30. Parabolas - for 400

31. Parabolas - for 500 Remember to phrase your answer in the form of a question! Find the vertex, which way the parabola opens, the axis of symmetry, focus, and the directrix of: X²+10x-4y+21=0

32. Parabolas - for 500 V (-5,-1) Opens: Up Axis of Symmetry: x=-5 Focus (-5,0) Directrix: y=-2

33. Ellipses- for 100 Remember to phrase your answer in the form of a question! What is the formula for finding the foci of an ellipse?

34. Ellipses- for 100 a²-c²=b²

35. Ellipses- for 200 Find the vertices of the ellipse: 25x ²+9y²-150x+36y+36=0 Remember to phrase your answer in the form of a question!

36. Ellipses- for 200 (0,-2) (6, -2) (3,3) (3,-7)

37. Ellipses- for 300 Find the vertices and Graph: 16x²+9y²=144 Remember to phrase your answer in the form of a question!

38. Ellipses- for 300 (0,4) (0,-4) (3,0) (-3,0

39. Ellipses- for 400 Find an equation of an ellipse with: x-intercepts: ± 5 and y-intercepts: ±2 Remember to phrase your answer in the form of a question!

40. Ellipses- for 400

41. Ellipses- for 500 Find the equation of an ellipse that is tangent to the x-axis and the y-axis with center (4, -3) Remember to phrase your answer in the form of a question!

42. Ellipses- for 500

43. Hyperbolas - for 100 Find the foci of the hyperbola: Remember to phrase your answer in the form of a question!

44. Hyperbolas - for 100 (0, ±  41)

45. Hyperbolas - for 200 The formula for finding the foci of a hyperbola is… Remember to phrase your answer in the form of a question!

46. Hyperbolas - for 200 c²- a²=b²

47. Hyperbolas - for 300 Remember to phrase your answer in the form of a question! Find an equation of a hyperbola with the given foci and the difference of their focal radii: (5,-9) (5, -1); 6

48. Hyperbolas - for 300

49. Hyperbolas - for 400 Graph: Y= -  x²+9 Remember to phrase your answer in the form of a question!

50. Hyperbolas - for 400

51. Hyperbolas - for 500 Find the equation of a hyperbola with foci at (-5,1) and (-5,-5) and when the distance between the vertices is 4. Remember to phrase your answer in the form of a question!

52. Hyperbolas - for 500