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This presentation was written by Rebecca Hoffman

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

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

3 Write the equation in standard form
2 Question: Write the equation in standard form 18x2 + 12y x - 48y = 0 Answer:

4 Write the equation in standard form
3 Question: Write the equation in standard form 9x2 - 4y2 - 54x - 40y - 55 = 0 Answer:

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

6 Write in standard form:
5 Question: Write in standard form: x2 + 4x - y + 8 = 0 Answer: y = (x + 2)2 + 4

7 6 Graph: Question: Answer: Center: (4, -6) Vertices: (8, -6) (0, -6)
Foci:

8 7 Graph: Question: Answer: Center: (3,1) Vertices: (3,3) (3,-1) Foci:

9 8 parabola hyperbola ellipse Question:
The following equations will graph which type of conic section? Answer: parabola A) hyperbola B) ellipse C)

10 9 Graph: (x-2)2 = 8(y-3) Question: Answer: Vertex: (2, 3)
Focus: (2, 5) Directrix: y = 1 Length of LR = 8

11 Write the equation from the graph
10 Question: Write the equation from the graph Answer:

12 11 Question: Answer: Write the equation of the hyperbola whose
covertices are 6 units apart and vertices are (3,4) and (3,0) Answer: Center: (3, 2) a = 2 b = 3

13 12 Question: Answer: Determine the equation of the conic section
represented by: 4y2 - 8y + 4x2 - 56x + 49 = 0 Answer:

14 Write the equation from the graph
13 Question: Write the equation from the graph (-4, 2) Answer:

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

16 15 Question: Answer: Center: (0, 4) a = 4 b = 3 c = 5
Write the equation of the hyperbola and foci at (0, 9) and (0,-1) and a co-vertex at (-3,4) Answer: Center: (0, 4) a = 4 b = 3 c = 5

17 16 Question: Write the equation of the conic with center at (3, 1), vertical major axis 12 units long, and a focus at (3,3). Answer:

18 Final Jeopardy x2 - 6y - 8x + 16 = 0 Identify the conic section
Question: Identify the conic section Write the equation in standard form Graph the equation x2 - 6y - 8x + 16 = 0

19 Directrix: y = -1.5 Axis: x = 4
Final Jeopardy Question: x2 - 6y - 8x + 16 = 0 Answer: parabola Vertex: (4,0) focus: (4, 1.5) Directrix: y = Axis: x = 4


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