1-5 Transformations of Functions Date Period Transform the given function f(x) as described and write the resulting function as an equation. 1) f (x ) =x3 2 ) f ( x ) = x3 expand vertically by a factor of 3 expand vertically by a factor of 2 translate up 3 units translate down 2 units 3 ) f (x ) = x3 4 ) f ( x ) = x 3 reflect across the x-axis reflect across the x-axis translate up 2 units translate up 1 unit 5) f (x ) = x reflect across the x-axis 6) f ( x ) = _ X translate down 2 units compress horizontally by a factor of 2 translate up 3 units 7) f(x) = _ expand vertically by a factor of 2 reflect across the x-axis Sketch the graph of each function. 8) g ( x) = x - 1 - 3 9 ) 8 (x ) = x +2 +2\fDescribe the transformations necessary to transform the graph of f (x) into that of g(x). 15) f (x ) = x 16) f (x ) = x2 g(x) = - 3 8(x) = (3(x - 3)) 2 2 17) f (x ) = x2 18 ) f (x ) = x 1 x 2 + 3 g (x) = 3 x +2 -2- 19 ) f (x ) = x 2 20) f (x ) = x2 8(x) - ( ; (x + 2 )" 8(x) - x) +2 21) f (x ) = x3 g(x) = -(x - 1)3