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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-

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-

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 6DE
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How do you answer 41 and 43?

(This is not graded but, rather, an exercise to achieve acquisition).

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-
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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