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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
How do you answer 41 and 43?
(This is not graded but, rather, an exercise to achieve acquisition).
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Finding the Vertex, Focus, and Directrix
of a Parabola In Exercises 37–50, find the
63. Hig
es.
vertex, focus, and directrix of the parabola.
Then sketch the parabola.
para
strai
Writ
37. y = x2
38. y = - 4x²
39. y2 = -6x
40. y = 3x
41. x2 + 12y = (0
42. x + y2 = 0
43. (x- 1)2 + 8(y+ 2) = 0
44. (x + 5) + (y - 1)2 = 0
45. (y + 7)2 = 4(x )
47. y = (x - 2 + 5)
46. (x + ) = 4(y – 1)
3
48. x = (y² + 2y + 33)
MEWMER
49. y? + 6y + Si + 25 = 0
50. x2 - 4x – 4y = 0
Finding the Vertex, Focus, and Directrix of a
Parabola In Exercises 51-54, find the vertex, focus,
and directrix of the parabola. Use a graphing utility to
graph the parabola.
64. Roa
para
road
than
51. x2 + 4x - 6y = – 10
52. x - 2x + 8y = -9
53. y2 + x + y = 0
54. y - 4x - 4 = 0
Finding the Tangent Line at a Point on
a Parabola In Exercises 55-60, find an
equation of the tangent line to the parabola
at the given point.
56.
55.
x² = 8y
%3D
8.
x² =-4y
(a)
(6,9)
4 8
-8
(h)
4-"
Transcribed Image Text:1
Finding the Vertex, Focus, and Directrix
of a Parabola In Exercises 37–50, find the
63. Hig
es.
vertex, focus, and directrix of the parabola.
Then sketch the parabola.
para
strai
Writ
37. y = x2
38. y = - 4x²
39. y2 = -6x
40. y = 3x
41. x2 + 12y = (0
42. x + y2 = 0
43. (x- 1)2 + 8(y+ 2) = 0
44. (x + 5) + (y - 1)2 = 0
45. (y + 7)2 = 4(x )
47. y = (x - 2 + 5)
46. (x + ) = 4(y – 1)
3
48. x = (y² + 2y + 33)
MEWMER
49. y? + 6y + Si + 25 = 0
50. x2 - 4x – 4y = 0
Finding the Vertex, Focus, and Directrix of a
Parabola In Exercises 51-54, find the vertex, focus,
and directrix of the parabola. Use a graphing utility to
graph the parabola.
64. Roa
para
road
than
51. x2 + 4x - 6y = – 10
52. x - 2x + 8y = -9
53. y2 + x + y = 0
54. y - 4x - 4 = 0
Finding the Tangent Line at a Point on
a Parabola In Exercises 55-60, find an
equation of the tangent line to the parabola
at the given point.
56.
55.
x² = 8y
%3D
8.
x² =-4y
(a)
(6,9)
4 8
-8
(h)
4-
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