ALG 2 CW: 2.7 Transformations of Functions. Give the name of the parent function and describe the transformation represented. 1. f(x) = x2 - 1 . Parent: f ( X ) = x2 Transformation: translated one unit down 2. f (x) = Vx- 2. Parent: f(x ) = Vx Transformation:\f\f\f\fName: Date: Given the parent function and a description of the transformation, write the equation of the transformed function, f(x). 9. Absolute Value : vertical shift up 5, horizontal shift right 3. f ( x ) = |X-31+ 5 10. Linear : vertical stretch/compression by. + ( x ) = EX 11. Quadratic : vertical stretch by 4, horizontal shift left 8. f ( x ) = 4 ( x 2 + 8 12. Linear : flipped over the x -axis, vertical shift down 2 . f ( x ) = - X-2 13. Absolute Value : vertical stretch by 6. f ( x ) = 6 / x 1 14. Square Root : reflected over the x -axis, vertical stretch by 3, shift left by 1. f ( x ) = - 3 X + Describe the transformations necessary to transform the graph of f(x) (solid line) into g(x) (dashed line). 15. 16.\f