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How do you find and use the vertex?

How do you find and use the vertex?. How do you find and use the vertex ?. Review. What is a quadratic function (relationship)?. A function in which the input is squared. Review. What are the ‘forms’ of linear functions?. Standard. Slope-Intercept. Y = mX + b. AX + BY = C. NEW.

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How do you find and use the vertex?

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  1. How do you find and use the vertex?

  2. How do you find and use the vertex?

  3. Review What is a quadratic function (relationship)? A function in which the input is squared

  4. Review What are the ‘forms’ of linear functions? Standard Slope-Intercept Y = mX + b AX + BY = C NEW Quadratic function standard form:

  5. Use Case: Vertical Motion Model Big question about timeand height? As seconds increase, what happens to feet?

  6. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sketch? SECONDS

  7. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET (?, ?) SECONDS

  8. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? Rule? FEET (?, ?) SECONDS

  9. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET (?, ?) SECONDS

  10. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. (?, ?) SECONDS

  11. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. (?, ?) SECONDS

  12. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. (?, ?) (0, 6) SECONDS

  13. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. (?, ?) (0, 6) SECONDS

  14. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. (?, ?) (1, 40) (0, 6) SECONDS

  15. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. 42 (?, ?) (1, 40) (0, 6) SECONDS

  16. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. 42 (?, ?) (2, 42) (1, 40) (0, 6) SECONDS

  17. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. 12 (?, ?) (2, 42) (1, 40) (0, 6) SECONDS

  18. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. 12 (?, ?) (2, 42) (1, 40) (0, 6) (3, 12) SECONDS

  19. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. -50 (?, ?) (2, 42) (1, 40) (0, 6) (3, 12) SECONDS

  20. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. -50 (?, ?) (2, 42) (1, 40) (0, 6) (3, 12) SECONDS

  21. Suppose I shoot a bb straight up. It leaves my gun 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the bb to get to its maximum height (nearest hundredth)? FEET Sec. Ft. (?, ?) (2, 42) (1, 40) NEED VERTEX X (0, 6) (3, 12) SECONDS

  22. Drumroll, plz FEET (?, ?) Vertex: NEED VERTEX X SECONDS

  23. Standard Form FEET (?, ?) Vertex: seconds SECONDS

  24. Standard Form FEET (1.56, ?) Vertex: seconds SECONDS

  25. Standard Form FEET (1.56, ?) Vertex: seconds SECONDS

  26. Standard Form FEET (1.56, ?) Vertex: seconds 45.0625 feet SECONDS

  27. Standard Form FEET (1.56, 45.06) Vertex: seconds 45.0625 feet SECONDS

  28. DRY practice

  29. Standard Form Vertex: X coordinate: Y coordinate: ‘plug in’

  30. Vertex: X coordinate: Y coordinate: ‘plug in’

  31. X coordinate: Y coordinate: ‘plug in’

  32. STOP! X coordinate: Y coordinate: ‘plug in’

  33. Stop for ‘dry’ practice on gmm

  34. Back to the “real world”

  35. How much time to reach the maximum height? What is the maximum height? 45.06 feet 1.56 seconds FEET (1.56, 45.06) Vertex: seconds 45.0625 feet SECONDS

  36. “maximum height?” Find vertex!

  37. Asks for HEIGHT Y (feet) “maximum height?” Find vertex! 93.77 ft.

  38. “maximum height?” Find vertex!

  39. Asks for TIME X (seconds) “maximum height?” Find vertex! 1.63 s.

  40. Asks for TIME X (seconds) “maximum height?” Find vertex!

  41. “maximum height?” Find vertex!

  42. Asks for HEIGHT Y (feet) “maximum height?” Find vertex! 546.14 ft.

  43. Suppose you throw a stone straight up. It leaves your hand 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the stone to get to its maximum height (nearest hundredth)? Suppose you throw a stone straight up. It leaves your hand 6 feet above the ground, traveling at 50 feet per second. What is the maximum height that the stone will reach (nearest hundredth)?

  44. Suppose you throw a stone straight up. It leaves your hand 6 feet above the ground, traveling at 50 feet per second. How much time will it take for the stone to get to its maximum height (nearest hundredth)? Asks for TIME X (seconds) to get to VERTEX Suppose you throw a stone straight up. It leaves your hand 6 feet above the ground, traveling at 50 feet per second. What is the maximum height that the stone will reach (nearest hundredth)? Asks for HEIGHT Y (feet) at VERTEX

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