Trig Transformations MatchAuthor: RayMiller Andrew Description: Match each equation to the transformation described if the parent functions are cos (x) and sin (x) . Keywords: , , , , , , online teaching
Content: Definitions: 0. 9 - cos (3x) 1. 9 - sin (x%2b3) 2. cos (x/3) 3. -9 sin (x - 3) 4. cos (3x) 5. 3 cos x 6. 9 - cos (x-3) 7. -9 sin (x %2b 3) 8. cos (-x) %2b 9 9. cos (x-3) - 9 10. - cos (x) - 9 11. -cos (x%2b9) 12. (1/3 )(cos x) 13. sin (x%2b3) - 9 14. 3 sin (-x) %2b9 15. 9 sin (-x) %2b3
Answers: 0. horizontal shift left 9, reflection over the x axis 1. vertical stretch 9, vertical shift up 3, reflection over the y-axis 2. horizontal shift right 3, vertical shift up 9, reflection over the x axis 3. vertical shift down 9, reflection over the x axis. 4. vertical shift up 9, reflection over the y axis 5. horizontal shift left 3, vertical shift down 9 6. horizontal shift right 3, vertical shift down 9 7. horizontal stretch of 3 8. vertical stretch of 9, horizontal shift right 3, reflection over the x axis 9. vertical stretch of 9, horizontal shift left 3, reflection over the x axis 10. vertical stretch 3, vertical shift up 9, reflection over the y-axis 11. horizontal shift left 3 and vertical shift up 9
reflection over x axis 12. vertical shrink of 1/3, vertical shift up 9, reflection over the x axis 13. vertical stretch 3 14. vertical shrink of 1/3 15. horizontal shrink of 1/3
|