1. Path of a Moving Object Radio Telescope Torch Reflector Satellite Dish Receiver Transmitter y = ax 2 A Parabolic device has a single focus. This enables radiation to be received and amplified or transmitted and amplified. Single Focus

3. 9.1 Plotting Parabolas

4. 0 1234567 8 910 -9-8 -7 -6 -5 -4-3-2 -10 x y 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = x 2 Example 1. xy -3 -2 0 1 2 3 9 4 1 0 1 4 9

5. 012 3 4 -2 1 2 3 4 5 6 7 8 -2 -3 -4 -5 -6 -7 -8 5 y -3 -9 x y = x 2 - 2x - 8 x -3-2-1 012345 x2x2 -2x -8 y 94 101 4 9 1625 6 4 20-2 -4 -6-8 -10 -8 70-5-8 -9-8-50 7 Drawing quadratic graphs of the form y = ax 2 + bx + c Example 2.

6. Example 3. Drawing quadratic graphs of the form y = ax 2 + bx + c 012 3 4 -2 -3 -4 -5 1 2 3 4 5 6 7 8 -2 -3 -4 -5 -6 -7 -8 -6 x y y = x 2 + 5x + 2 y 2 5x5x x2x2 10-2-3-4-5-6 x 36 25 169 4 1 0 1 -30-25 -20-15-10-5 05 222222 2 2 82 -2 -4 -22 8

7. Plotting Parabolas WorksheetWorksheet Complete the tables. Plot each parabola on a set of axes.

8. 0 1234567 8 910 -9-8 -7 -6 -5 -4-3-2 -10 x y 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10 Example 1 y = x 2 xy -3 -2 0 1 2 3

9. 012 3 4 -2 1 2 3 4 5 6 7 8 -2 -3 -4 -5 -6 -7 -8 5 y -3 -9 x y = x 2 - 2x - 8 y -8 -2x x2x2 543210 -1-2-3 x Example 2

10. 012 3 4 -2 -3 -4 -5 1 2 3 4 5 6 7 8 -2 -3 -4 -5 -6 -7 -8 -6 x y y = x 2 + 5x + 2 y 2 5x x2x2 10-2-3-4-5-6x Example 3