Algebra - Absolute values - graphs.
Test Yourself 2.
| Transformations | 1. (i) Graph y = |x| (ii) Write the equation transformed from y = |x| where there is a horizontal shift of 2 to the right and a shift of 1 down. (iii) Graph the transformed equation. |
2. (i) Write the equation transformed from y = |x| where there is a horizontal dilation of 2 and a horizontal shift of -1. (ii) Graph the transformed equation. |
| Graph the two components of each of the following equations on the same set of axes. So for Q3, graph y = |3x + 2| and y = 8. On the basis of your graph, solve the given equation for x value(s). | ||
| 3. |3x + 2| = 8 | 4. |3 - 2x| = 5 | |
| 5. |-2x - 3| = 7 | 6. | |
| 7. | 8. | |
| Solving equations graphically. | 9. |x2 - 3| = 6 |
10. |x2 + 3| = 22 |
| 11. |2x + 3| = 3x | 12. |3x + 1| = 2x + 4 | |
| 13. |4 - 2x| = x - 2 | 14. |2x + 5| = 3x + 9 | |
| 15. |x - 2| - x = 1 | 16. |2x + 6| = |x + 10| | |
| 17. 2|x + 8| = 3 |x + 5| | 18. |6x - 7| = 2|4 - 2x| | |
| 19. 6|x + 3| - 2|x + 1| = 0 | 20. (i) Sketch y = |2x - 4|.
(ii) Hence find all values for k for which the equation |
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