Chapter11: Conics
Section11.2: Parabolas
Problem 97E: Write the equation of a parabola that opens up or down in standard form and the equation of a...
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Questions 49 and 50
Transcribed Image Text:Sketching a Circle In Exercises 27-34, sketeh the circle.
Identify its center and radius.
27. x² = 16 - y²
29. x² + 4x +²2² + 4y - 1 = 0
30. x² - 6x + y² + 6y + 14 = 0
Finding the Standard Equation of a Parabola In
Exercises 49-60, find the standard form of the equation
of the parabola with the given characteristic(s) and
vertex at the origin.
49.
9
28. y² = 81 - x²
(3,6)
62. y = -2x²
64. y² = 3x
66. x + y² = 0
Vertex: (0,0)
Focus: (-1/4,0)
directrix: X= 14
50.
-18
(-2, 6)
10
-10
Finding the Vertex, Focus, and Directrix of a Parabola In
Exercises 61-78, find the vertex, focus, and directrix of
the parabola and sketch its graph. Use a graphing utility
to verify your graph.
12
Focus: (0₂2)
directrix X=-2
68. (x - 5) + (y + 4)² = 0
69. y² + 6y + 8x + 25 = 0
70. y² - 4y - 4x = 0
Vertex:(-1,2)
1
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