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Presentation transcript:

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

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

Write the equation in standard form 2 Question: Write the equation in standard form 18x2 + 12y2 - 144x - 48y + 120 = 0 Answer:

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

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:

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

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

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

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

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

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

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

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

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

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

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

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:

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

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 = -1.5 Axis: x = 4