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Algebra 2
Unit 10 Warmup: Identifying All Conics
Name: ___________________________
Pd:____________
Classify each of the following conics as a parabola (P), circle (C), ellipse (E), hyperbola (H), or none (N).
Explain how you know on each of them.
GENEARAL FORM EQUATION
1) x2 + y2 – 6x + 4y + 9 = 0
CONIC SECTION
2) x2 + 4y2 – 6x + 16y + 21 = 0
3) 4x2 - y2 – 4x - 3 = 0
4) y2 – 6y - 4x + 21 = 0
5) y2 – 4x2 + 4x – 2y – 4 = 0
6) x2 + y2 – 4x + 6y - 3 = 0
7) x2 - 4x - 8y + 2 = 0
8) 4x2 + y2 – 8x + 3 = 0
9) 4x2 + 3y2 + 8x - 24y + 51 = 0
10) 4y2 – 2x2 – 4y + 8x - 15 = 0
11) 25x2 – 10x – 200y - 119 = 0
12) 4y2 + 4x2 – 24x + 35 = 0
13) 4x2 + 16y2 – 4x - 32y + 1 = 0
14) 2y2 + 2x + 2y + 1 = 0
15) 100x2 + 100y2 – 100x + 400y + 409 = 0
16) 4x2 - y2 + 4x + 2y -1 = 0
17) 3y + 4x + 3y2 + 3x + 9y – 12x –18 – 8y = 4
18) –3x2 + 3x – 4y + 8x + 4x2 + 3y2 – 8y + 10 –3y2 + y = 36
19) x + 3y – 14x + 10 y + 2y2 - 3x – y2 + 8y – y2 = 8
20) x2 + 2y2 – 3y2 + 4x2 – y + 8 = 10
EXPLAIN