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. -cos (x%2b9)
1. cos (x-3) - 9
2. cos (x/3)
3. 3 cos x
4. 9 sin (-x) %2b3
5. -9 sin (x %2b 3)
6. 9 - sin (x%2b3)
7. 3 sin (-x) %2b9
8. sin (x%2b3) - 9
9. -9 sin (x - 3)
10. 9 - cos (3x)
11. 9 - cos (x-3)
12. (1/3 )(cos x)
13. cos (-x) %2b 9
14. cos (3x)
15. - cos (x) - 9
Answers:
0. vertical stretch of 9, horizontal shift left 3, reflection over the x axis
1. vertical stretch 3
2. vertical shrink of 1/3, vertical shift up 9, reflection over the x axis
3. horizontal shrink of 1/3
4. vertical shift down 9, reflection over the x axis.
5. vertical shift up 9, reflection over the y axis
6. horizontal shift right 3, vertical shift up 9, reflection over the x axis
7. horizontal shift left 3, vertical shift down 9
8. vertical stretch 9, vertical shift up 3, reflection over the y-axis
9. horizontal shift left 9, reflection over the x axis
10. vertical stretch 3, vertical shift up 9, reflection over the y-axis
11. horizontal shift right 3, vertical shift down 9
12. horizontal shift left 3 and vertical shift up 9
reflection over x axis
13. vertical stretch of 9, horizontal shift right 3, reflection over the x axis
14. vertical shrink of 1/3
15. horizontal stretch of 3
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