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Parabola - Merit

Parabola - Merit. Mahobe. Basics first. Movement in y direction. Movement in x direction. Reflection in x-axis. Stretch in y-direction e.g. height doubles. Stretch in x-direction e.g. width halves. Sketch . Sketch . Sketch . Sketch . Sketch . Sketch . Factored form of a quadratic.

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Parabola - Merit

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  1. Parabola - Merit Mahobe

  2. Basics first

  3. Movement in y direction

  4. Movement in x direction

  5. Reflection in x-axis

  6. Stretch in y-direction e.g. height doubles

  7. Stretch in x-direction e.g. width halves

  8. Sketch

  9. Sketch

  10. Sketch

  11. Sketch

  12. Sketch

  13. Sketch

  14. Factored form of a quadratic • Draw

  15. Find the intercepts by putting x = 0 and y = 0 • Y-intercept is (0, -15) • X-intercepts are (5, 0) and (-3, 0) • The line of symmetry is half way between these points at x = 1 and y = -16

  16. Find the intercepts by putting x = 0 and y = 0 • Y-intercept is (0, -15) • X-intercepts are (5, 0) and (-3, 0) • The line of symmetry is half way between these points at x = 1 and y = -16

  17. Sketch these graphs

  18. Note that this is just • Moved down 3

  19. Sketch the following graphs with their axis of symmetry and give the coordinates of the vertex

  20. Vertex (3.5, -6.25)

  21. Vertex (-4, -36)

  22. Vertex (1, -36)

  23. Vertex (1.5, -2.25)

  24. A is (0, -6) or if the diagram is to scale (1, -4)

  25. B (-3, 0)

  26. C (2, 0)

  27. D (-0.5, 0)

  28. E (-0.5, -6.25)

  29. A stone is fired from a catapult. The height gained by the stone is given by the equation • h= height of the stone • t = time in seconds • At what times is the stone at a height of 25 metres?

  30. Use the calculator to solve and round to appropriate level:

  31. What is the stone’s height after 2.5 seconds?

  32. Use the calculator to solve and round to appropriate level:

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