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Function Transformations (Grades 11-12)

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Function Transformations

1. 
If y = f(x) is changed to y = -f(x), the function                             .
  1. is reflected over the x-axis
  2. is reflected over the y-axis
  3. becomes "skinnier"
  4. becomes "fatter"
2. 
If y = f(x) is transformed to y = 2f(x), the function                     .
  1. shifts up 2 units
  2. shifts right 2 units
  3. becomes "fatter"
  4. becomes "skinnier"
3. 
If y = f(x) is transformed to y = f(x - 2), the function                     .
  1. shifts left 2 units
  2. shifts right 2 units
  3. becomes "fatter"
  4. becomes "skinnier"
4. 
If y = f(x) is transformed to y = f(2x), the function                     .
  1. shifts up 2 units
  2. shifts right 2 units
  3. becomes "fatter"
  4. becomes "skinnier"
5. 
If y = f(x) is transformed to y = f(x) + 2, the function                     .
  1. shifts up 2 units
  2. shifts down 2 units
  3. shifts left 2 units
  4. shifts right 2 units
6. 
If y = f(x) is changed to y = f(-x), the function                             .
  1. is reflected over the x-axis
  2. is reflected over the y-axis
  3. becomes "skinnier"
  4. becomes "fatter"
7. 
If y = f(x) is transformed to y = 0.5f(x), the function                      .
  1. becomes "skinnier"
  2. becomes "fatter"
  3. shifts up 0.5 units
  4. shifts down 0.5 units
8. 
If y = f(x) is transformed to y = f(x + 2), the function                     .
  1. shifts up 2 units
  2. shifts down 2 units
  3. shifts left 2 units
  4. shifts right 2 units
9. 
If y = f(x) is transformed to y = f(x) - 2, the function                     .
  1. shifts right 2 units
  2. shifts down 2 units
  3. shifts left 2 units
  4. shifts up 2 units
10. 
If y = f(x) is transformed to y = f(0.5x), the function                       .
  1. shifts left 0.5 units
  2. shifts right 0.5 units
  3. becomes "skinnier"
  4. becomes "fatter"
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