Parent Function Worksheet 1
|Math Analysis – Transformations Review |Name _________________ Date _______ |
Give the name of the parent function and describe the transformation represented.
|1. g(x) = x 2 – 1 |2. f(x) = [pic] |
|Parent: ___________________ |Parent: ___________________ |
|Transformations:________________________ |Transformations:________________________ |
|[pic] |[pic] |
|3. h(x) = [pic] |4. g(x) = -2(x+1)2 + 3 |
| | |
|Parent: ___________________ |Parent: ___________________ |
|Transformations:________________________ |Transformations:________________________ |
|[pic] |[pic] |
|5. g(x) = [pic] |6. f(x) = [pic] - 2 |
| | |
|Parent: ___________________ |Parent: ___________________ |
|Transformations:________________________ |Transformations:________________________ |
|[pic] |[pic] |
|7. h(x) = -(x – 3)2 + 1 |8. h(x) = [pic] |
| | |
|Parent: ___________________ |Parent: ___________________ |
|Transformations:________________________ |Transformations:________________________ |
|[pic] |[pic] |
Given the parent function and a description of the transformation, write the equation of the transformed function, f(x).
11.Absolute Value — vertical shift up 5, horizontal shift right 3. ____________________
12.Linear — vertical stretch/compression by [pic] ____________________
13. Square Root — flipped over the x axis, vertical shift down 2 ____________________
14. Cubic — vertical stretch by 8 ____________________
15. Quadratic — vertical stretch by 5, horizontal shift left 8. ____________________
16. Which graph best represents the function f(x) = 2x2 - 2?
a. b. c. d.
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