Conics This presentation was written by Rebecca Hoffman Retrieved from McEachern High School
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
2 Write the equation in standard form 18x y x - 48y = 0 Question: Answer:
3 Write the equation in standard form 9x 2 - 4y x - 40y - 55 = 0 Question: Answer:
4 Determine the equation of the circle with center (-4,7) and a solution point (1,2). Question: Answer:
5 Write in standard form: x 2 + 4x - y + 8 = 0 Question: Answer: (x + 2) 2 = y - 4
6 Graph: Question: Answer: Center: (4, -6) Vertices: (8, -6) (0, -6) Pseudovertices: (4, -3) (4, -9) Foci: (6.6, -6) (1.4, -6)
7 Graph: Question: Answer: Center: (3,1) Vertices: (3,3) (3,-1) Foci: (3, 6.4) (3, -4.4) Pseudovertices: (8,1) (-2,1)
8 The following equations will graph which type of conic section? A) B) C) parabola hyperbola ellipse Question: Answer:
9 Graph: (x-2) 2 = 8(y-3) Question: Answer: Vertex: (2, 3) Focus: (2, 5) Directrix: y = 1 Semilatus = 4
10 Write the equation from the graph Question: Answer:
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
12 Determine the equation of the conic section represented by: 4y 2 - 8y + 4x x + 49 = 0 Question: Answer:
13 Write the equation from the graph Question: Answer: (y-2) 2 =4(x+4) (-4, 2)
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
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
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).
Final Jeopardy Identify the conic section Write the equation in standard form Graph the equation Question: x 2 - 6y - 8x + 16 = 0
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