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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