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