45. Opens downward with focus 10 units away from the vertex

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.1: Parabolas
Problem 44E
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31–48 1 Finding the Equation of a Parabola Find an equation
for the parabola that has its vertex at the origin and satisfies the
given condition(s).
31. Focus: F(0, 6)
32. Focus: F(0, –-:)
33. Focus: F(-8, 0)
34. Focus: F(5, 0)
35. Focus: F(0, ;)
36. Focus: F(-12, 0)
|
37. Directrix: x =
-4
38. Directrix: y = }
39. Directrix: y
40. Directrix: x = - §
10
41. Directrix: x =
1
20
42. Directrix: y = -5
43. Focus on the positive x-axis, 2 units away from the directrix
44. Focus on the negative y-axis, 6 units away from the directrix
45. Opens downward with focus 10 units away from the vertex
46. Opens upward with focus 5 units away from the vertex
47. Directrix has y-intercept 6
48. Focal diameter 8 and focus on the negative y-axis
Transcribed Image Text:31–48 1 Finding the Equation of a Parabola Find an equation for the parabola that has its vertex at the origin and satisfies the given condition(s). 31. Focus: F(0, 6) 32. Focus: F(0, –-:) 33. Focus: F(-8, 0) 34. Focus: F(5, 0) 35. Focus: F(0, ;) 36. Focus: F(-12, 0) | 37. Directrix: x = -4 38. Directrix: y = } 39. Directrix: y 40. Directrix: x = - § 10 41. Directrix: x = 1 20 42. Directrix: y = -5 43. Focus on the positive x-axis, 2 units away from the directrix 44. Focus on the negative y-axis, 6 units away from the directrix 45. Opens downward with focus 10 units away from the vertex 46. Opens upward with focus 5 units away from the vertex 47. Directrix has y-intercept 6 48. Focal diameter 8 and focus on the negative y-axis
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