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Conics 1 2 3 4 7 8 6 5 10 12 11 9 16 15 14 13 This presentation was written by Rebecca Hoffman Retrieved from McEachern High School

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1 Name the vertex and the distance from the vertex to the focus of the equation (y+4) 2 = -16(x-1) Question: Answer: Vertex: (1, -4) p = -4

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2 Write the equation in standard form 18x 2 + 12y 2 - 144x - 48y + 120 = 0 Question: Answer:

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3 Write the equation in standard form 9x 2 - 4y 2 - 54x - 40y - 55 = 0 Question: Answer:

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4 Determine the equation of the circle with center (-4,7) and a solution point (1,2). Question: Answer:

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5 Write in standard form: x 2 + 4x - y + 8 = 0 Question: Answer: (x + 2) 2 = y - 4

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6 Graph: Question: Answer: Center: (4, -6) Vertices: (8, -6) (0, -6) Pseudovertices: (4, -3) (4, -9) Foci: (6.6, -6) (1.4, -6)

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7 Graph: Question: Answer: Center: (3,1) Vertices: (3,3) (3,-1) Foci: (3, 6.4) (3, -4.4) Pseudovertices: (8,1) (-2,1)

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8 The following equations will graph which type of conic section? A) B) C) parabola hyperbola ellipse Question: Answer:

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9 Graph: (x-2) 2 = 8(y-3) Question: Answer: Vertex: (2, 3) Focus: (2, 5) Directrix: y = 1 Semilatus = 4

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10 Write the equation from the graph Question: Answer:

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11 Question: Answer: Write the equation of the hyperbola whose covertices are 6 units apart and vertices are (3,4) and (3,0) Center: (3, 2) a = 2 b = 3

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12 Determine the equation of the conic section represented by: 4y 2 - 8y + 4x 2 - 56x + 49 = 0 Question: Answer:

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13 Write the equation from the graph Question: Answer: (y-2) 2 =4(x+4) (-4, 2)

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14 Write the equation of the ellipse with vertical major axis 20 units long, and center at (3,0) and a foci at (3,7) Question: Answer: h = 3k = 0 a = 10 c = 7

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15 Write the equation of the hyperbola and foci at (0, 9) and (0,-1) and a co-vertex at (-3,4) Question: Answer: Center: (0, 4) a = 4 b = 3 c = 5

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16 Question: Answer: Write the equation of the conic with center at (3, 1), vertical major axis 12 units long, and a focus at (3,3).

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Final Jeopardy Identify the conic section Write the equation in standard form Graph the equation Question: x 2 - 6y - 8x + 16 = 0

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Final Jeopardy Question: x 2 - 6y - 8x + 16 = 0 Answer: parabola (x - 4) 2 = 6y Vertex: (4,0)focus: (4, 1.5) Directrix: y = -1.5 Axis: x = 4 p=1.5

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