998 CHAPTER 10 Analytic Geometry 10.1 Exercises 1. CONCEPT PREVIEW Match each equation of a parabola in Column I with its description in Column II. I (a) y - 2 = 1x + 422 (b) y - 4 = 1x + 222 (c) y - 2 = -1x + 422 (d) y - 4 = -1x + 222 (e) x - 2 = 1y + 422 (f ) x - 4 = 1y + 222 (g) x - 2 = -1y + 422 (h) x - 4 = -1y + 222 II A. vertex 1-2, 42; opens down B. vertex 1-2, 42; opens up C. vertex 1-4, 22; opens down D. vertex 1-4, 22; opens up E. vertex 12, -42; opens left F. vertex 12, -42; opens right G. vertex 14, -22; opens left H. vertex 14, -22; opens right 2. CONCEPT PREVIEW Match each equation of a parabola in Column I with its description in Column II. I (a) y = 2x2 + 3x + 9 (b) y = -3x2 + 4x - 2 (c) x = 2y2 - 3y + 9 (d) x = -3y2 - 4y + 2 II A. opens right B. opens up C. opens left D. opens down CONCEPT PREVIEW For each parabola, give the vertex, focus, directrix, axis of symmetry, domain, and range. 3. x y Vertex Directrix Focus 0 Axis (x − 2)2 = 8(y + 1) 4. x y Directrix Focus 0 Axis Vertex (y − 4)2 = 12(x + 3) Graph each horizontal parabola. Give the domain and range. See Examples 1 and 2. 5. x + 4 = y2 6. x - 2 = y2 7. x = 1y - 322 8. x = 1y + 122 9. x - 2 = 1y - 422 10. x + 1 = 1y + 222 11. x - 2 = -31y - 122 12. x - 4 = 1 2 1y - 122 13. - 1 2 x = 1y + 322 14. - 1 3 x = 1y - 222 15. x = y2 + 4y + 2 16. x = 2y2 - 4y + 6 17. x = -4y2 - 4y + 3 18. x = -2y2 + 2y - 3 19. 2x - y2 + 4y - 6 = 0 20. x + 3y2 + 18y + 22 = 0 21. -x = 3y2 + 6y + 2 22. -x = 2y2 + 4y - 1
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